Splitting theorem for Z2 n-supermanifolds

T. Covolo; Grabowski J.; Poncin N.

doi:10.1016/j.geomphys.2016.09.006

Публикации

?

Splitting theorem for Z2 n-supermanifolds

Journal of Geometry and Physics. 2016. Vol. 110. P. 393–401.

Коволо Т. С., Grabowski J., Poncin N.

Smooth $-supermanifolds have been introduced and studied recently. The corresponding sign rule is given by the ‘scalar product’ of the involved -degrees. It exhibits interesting changes in comparison with the sign rule using the parity of the total degree. With the new rule, nonzero degree even coordinates are not nilpotent, and even (resp., odd) coordinates do not necessarily commute (resp., anticommute) pairwise. The classical Batchelor–Gawȩdzki theorem says that any smooth supermanifold is diffeomorphic to the ‘superization’ ΠE of a vector bundle E . It is also known that this result fails in the complex analytic category. Hence, it is natural to ask whether an analogous statement goes through in the category of -supermanifolds with its local model made of formal power series. We give a positive answer to this question. Язык: английский DOI Ключевые слова: Supersymmetry Supergeometry Higher grading Sign rule Higher vector bundle Split supermanifold Похожие публикации Large-𝑁 solution and effective action of a twisted-mass deformed CP⁢(𝑁−1) model E. Ievlev, Sumbatian G., A. Yung, Physical Review D - Particles, Fields, Gravitation and Cosmology 2024 Vol. 109 No. 8 Article 085021 Добавлено: 3 мая 2024 г. Flux compactification for the critical non-Abelian vortex and quark masses A. Yung, Physical Review D - Particles, Fields, Gravitation and Cosmology 2021 Vol. 104 No. 2 Article 025007 Добавлено: 26 октября 2022 г. Critical non-Abelian vortices and holography for little string theory E. Ievlev, A. Yung, Physical Review D - Particles, Fields, Gravitation and Cosmology 2021 Vol. 104 No. 11 Article 114033 Добавлено: 26 октября 2022 г. First Evidence for cos2β>0 and Resolution of the Cabibbo-Kobayashi-Maskawa Quark-Mixing Unitarity Triangle Ambiguity Аушев Т. А., Мизюк Р. В., Пахлов П. Н. и др., Physical Review Letters 2018 Vol. 121 No. 26 P. 1–11 Добавлено: 28 октября 2020 г. 4d N=1 quiver gauge theories and the A_n Bailey lemma Brunner F., Спиридонов В. П., Journal of High Energy Physics 2018 Vol. 2018 No. 03 P. 1–29 . ... Добавлено: 26 марта 2018 г. Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants Берштейн М. А., Bonelli G., Ronzani M. и др., Journal of Geometry and Physics 2017 Vol. 118 P. 40–50 We show that equivariant Donaldson polynomials of compact toric surfaces can be calculated as residues of suitable combinations of Virasoro conformal blocks, by building on AGT correspondence between N=2 supersymmetric gauge theories and two-dimensional conformal field theory.Talk. 1 1 http://salafrancesco.altervista.org/wugo2015/tanzini.pdf. presented by A.T. at the conference Interactions between Geometry and Physics - in honor of ... Добавлено: 17 марта 2017 г. Search for supersymmetry in electroweak production with photons and large missing transverse energy in pp collisions at sqrt(s) = 8 TeV Khachatryan V., Ратников Ф. Д., Physics Letters B 2016 Vol. 759 P. 479–500 Results are reported from a search for supersymmetry with gauge-mediated supersymmetry breaking in electroweak production. Final states with photons and large missing transverse energy ( <img />) were examined. The data sample was collected in pp collisions at <img /> with the CMS detector at the LHC and corresponds to 7.4<img />. The analysis focuses on scenarios in ... Добавлено: 21 октября 2016 г. Instantons and 2d Superconformal field theory Берштейн М. А., Белавин А. А., Белавин В. А., Journal of High Energy Physics 2011 Vol. 9 No. 117 Добавлено: 23 октября 2014 г. О ВЫШКЕ Цифры и факты Руководство и структура Устойчивое развитие в НИУ ВШЭ Преподаватели и сотрудники Корпуса и общежития Закупки Обращения граждан в НИУ ВШЭ Фонд целевого капитала Противодействие коррупции Сведения о доходах, расходах, об имуществе и обязательствах имущественного характера Сведения об образовательной организации Людям с ограниченными возможностями здоровья Единая платежная страница Работа в Вышке ОБРАЗОВАНИЕ Лицей Довузовская подготовка Олимпиады Прием в бакалавриат Вышка+ Прием в магистратуру Аспирантура Дополнительное образование Центр развития карьеры Бизнес-инкубатор ВШЭ Образовательные партнерства Обратная связь и взаимодействие с получателями услуг НАУКА Научные подразделения Исследовательские проекты Мониторинги Диссертационные советы Защиты диссертаций Академическое развитие Конкурсы и гранты Внешние научно-информационные ресурсы РЕСУРСЫ Библиотека Издательский дом ВШЭ Книжный магазин «БукВышка» Типография Медиацентр Журналы ВШЭ Публикации http://www.minobrnauki.gov.ru/ Министерство науки и высшего образования РФ https://edu.gov.ru/ Министерство просвещения РФ http://www.edu.ru Федеральный портал «Российское образование» https://elearning.hse.ru/mooc Массовые открытые онлайн-курсы НИУ ВШЭ1993–2026 Адреса и контакты Условия использования материалов Политика конфиденциальности Правила применения рекомендательных технологий в НИУ ВШЭ Карта сайта Редактору window.__INITIAL_STATE__={"config":{"widgetPrefixURL":"\u002F","widgetPostfixURL":"\u002F","prefixURL":"\u002F","domain":"publications.hse.ru","hseURL":"https:\u002F\u002Fwww.hse.ru","serverBaseURL":"http:\u002F\u002Flocalhost:5000","clientBaseURL":"https:\u002F\u002Fpublications.hse.ru","ruVersion":true},"useTemplate":1,"article":{"id":"196420690","title":"Splitting theorem for Z2 n-supermanifolds","href":"\u002Farticles\u002F196420690","type":"ARTICLE","issn":"0393-0440","eissn":"1879-1662","status":1,"is_hidden":0,"createdAt":"2016-11-12T15:52:54.565Z","creator":{"id":"61593467","title":{"ru":"\u003Ca target=\"_blank\" href=\"\u002Forg\u002Fpersons\u002F61593467\"\u003EХанова И. В.\u003C\u002Fa\u003E","en":null}},"description":{"pages":{"publ":"Vol. 110. P. 393–401.","en":"Vol. 110. P. 393–401.","ru":"Т. 110. С. 393–401."},"short":{"publ":"Journal of Geometry and Physics 2016 Vol. 110 P. 393–401","en":"Journal of Geometry and Physics 2016 Vol. 110 P. 393–401","ru":"Journal of Geometry and Physics 2016 Т. 110 С. 393–401"},"main":"Covolo T., Grabowski J., Poncin N. et al. Splitting theorem for Z2 n-supermanifolds \u002F\u002F Journal of Geometry and Physics. 2016. Vol. 110. P. 393–401."},"cardVeryfy":{"overDate":false,"hasVerify":false,"verifyFinish":false},"documents":{"DEMO":null,"DOI":{"id":"1","href":"https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.geomphys.2016.09.006"},"OTHER_URL":{"id":"1","href":null,"ext":null,"size":null},"CONTENT_DOCUMENT":null,"DOCUMENT":null,"COVER":null},"projects":[],"authorsByType":{"author":[{"id":"160321750","href":null,"enVersionStatus":"0","title":{"ru":"Коволо Т. С.","en":"Covolo T."},"reverseTitle":{"ru":"Т. С. Коволо","en":"T. Covolo"},"altName":"","otherName":"","properties":{"scopus":"https:\u002F\u002Fwww.scopus.com\u002Fauthid\u002Fdetail.uri?partnerID=HzOxMe3b&authorId=55331414000&origin=inward","rinc":"","orcid":""},"worknow":false,"authorInstitution":true,"verifyStatus":{"articleCollections":false,"hasAttr":false,"attr":{"verified":false,"affiliation":false}}},{"id":"196420701","href":null,"enVersionStatus":"0","title":{"ru":"J. G.","en":"Grabowski J."},"reverseTitle":{"ru":"G. J.","en":"J. Grabowski"},"altName":"Grabowski J.","otherName":"","properties":{"scopus":"","rinc":"","orcid":""},"worknow":false,"authorInstitution":false,"verifyStatus":{"articleCollections":false,"hasAttr":false,"attr":{"verified":false,"affiliation":false}}},{"id":"196420703","href":null,"enVersionStatus":"0","title":{"ru":"N. P.","en":"Poncin N."},"reverseTitle":{"ru":"P. N.","en":"N. Poncin"},"altName":"Poncin N.","otherName":"","properties":{"scopus":"","rinc":"","orcid":""},"worknow":false,"authorInstitution":false,"verifyStatus":{"articleCollections":false,"hasAttr":false,"attr":{"verified":false,"affiliation":false}}}],"leader":null,"resp_editor":null,"sci_editor":null,"cmn_editor":null,"translator":null,"make_editor":null,"trn_editor":null},"magazine":{"id":"57961972","title":{"en":"Journal of Geometry and Physics","ru":"Journal of Geometry and Physics"}},"year":2016,"annotation":{"ru":"\u003Cp\u003E\n\t\u003Cspan\u003ESmooth \u003Cspan\u003E\u003Ca class=\"mathImg\" data-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0393044016302261&_mathId=si1.gif&_user=111111111&_pii=S0393044016302261&_rdoc=1&_issn=03930440&md5=78248271d6d258a9733bb741f6b337fc\" style=\"color: rgb(1, 86, 170); border: 0px; margin: 0px; padding: 0px; vertical-align: baseline;\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S0393044016302261-si1.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cmath\u003E\u003Cmi\u003E\u003Cspan\u003E-supermanifolds have been introduced and studied recently. The corresponding sign rule is given by the ‘scalar product’ of the involved \u003Cspan\u003E\u003Ca class=\"mathImg\" data-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0393044016302261&_mathId=si1.gif&_user=111111111&_pii=S0393044016302261&_rdoc=1&_issn=03930440&md5=78248271d6d258a9733bb741f6b337fc\" style=\"color: rgb(1, 86, 170); border: 0px; margin: 0px; padding: 0px; vertical-align: baseline;\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S0393044016302261-si1.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cmath\u003E\u003Cmi\u003E\u003Cspan\u003E-degrees. It exhibits interesting changes in comparison with the sign rule using the parity of the total degree. With the new rule, nonzero degree even coordinates are not nilpotent, and even (resp., odd) coordinates do not necessarily commute (resp., anticommute) pairwise. The classical Batchelor–Gawȩdzki theorem says that any smooth supermanifold is diffeomorphic to the ‘superization’ \u003Cspan\u003E\u003Cspan data-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0393044016302261&_mathId=si4.gif&_user=111111111&_pii=S0393044016302261&_rdoc=1&_issn=03930440&md5=93963ef61df846669edc76bb3fda1db6\"\u003EΠE\u003Cspan\u003E\u003Cspan\u003E\u003Cmath\u003E\u003Cspan\u003E of a vector bundle \u003Cspan\u003E\u003Cspan data-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0393044016302261&_mathId=si5.gif&_user=111111111&_pii=S0393044016302261&_rdoc=1&_issn=03930440&md5=2d07e7e0d70232e1707446ec10445e2a\"\u003EE\u003Cspan\u003E\u003Cspan\u003E\u003Cmath\u003E\u003Cspan\u003E. It is also known that this result fails in the complex analytic category. Hence, it is natural to ask whether an analogous statement goes through in the category of \u003Cspan\u003E\u003Ca class=\"mathImg\" data-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0393044016302261&_mathId=si1.gif&_user=111111111&_pii=S0393044016302261&_rdoc=1&_issn=03930440&md5=78248271d6d258a9733bb741f6b337fc\" style=\"color: rgb(1, 86, 170); border: 0px; margin: 0px; padding: 0px; vertical-align: baseline;\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S0393044016302261-si1.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cmath\u003E\u003Cmi\u003E\u003Cspan\u003E-supermanifolds with its local model made of formal power series. We give a positive answer to this question.\u003C\u002Fp\u003E\n","en":"\u003Cp\u003E\n\t\u003Cspan\u003ESmooth \u003Cspan\u003E\u003Ca class=\"mathImg\" data-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0393044016302261&_mathId=si1.gif&_user=111111111&_pii=S0393044016302261&_rdoc=1&_issn=03930440&md5=78248271d6d258a9733bb741f6b337fc\" style=\"color: rgb(1, 86, 170); border: 0px; margin: 0px; padding: 0px; vertical-align: baseline;\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S0393044016302261-si1.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cmath\u003E\u003Cmi\u003E\u003Cspan\u003E-supermanifolds have been introduced and studied recently. The corresponding sign rule is given by the ‘scalar product’ of the involved \u003Cspan\u003E\u003Ca class=\"mathImg\" data-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0393044016302261&_mathId=si1.gif&_user=111111111&_pii=S0393044016302261&_rdoc=1&_issn=03930440&md5=78248271d6d258a9733bb741f6b337fc\" style=\"color: rgb(1, 86, 170); border: 0px; margin: 0px; padding: 0px; vertical-align: baseline;\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S0393044016302261-si1.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cmath\u003E\u003Cmi\u003E\u003Cspan\u003E-degrees. It exhibits interesting changes in comparison with the sign rule using the parity of the total degree. With the new rule, nonzero degree even coordinates are not nilpotent, and even (resp., odd) coordinates do not necessarily commute (resp., anticommute) pairwise. The classical Batchelor–Gawȩdzki theorem says that any smooth supermanifold is diffeomorphic to the ‘superization’ \u003Cspan\u003E\u003Cspan data-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0393044016302261&_mathId=si4.gif&_user=111111111&_pii=S0393044016302261&_rdoc=1&_issn=03930440&md5=93963ef61df846669edc76bb3fda1db6\"\u003EΠE\u003Cspan\u003E\u003Cspan\u003E\u003Cmath\u003E\u003Cspan\u003E of a vector bundle \u003Cspan\u003E\u003Cspan data-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0393044016302261&_mathId=si5.gif&_user=111111111&_pii=S0393044016302261&_rdoc=1&_issn=03930440&md5=2d07e7e0d70232e1707446ec10445e2a\"\u003EE\u003Cspan\u003E\u003Cspan\u003E\u003Cmath\u003E\u003Cspan\u003E. It is also known that this result fails in the complex analytic category. Hence, it is natural to ask whether an analogous statement goes through in the category of \u003Cspan\u003E\u003Ca class=\"mathImg\" data-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0393044016302261&_mathId=si1.gif&_user=111111111&_pii=S0393044016302261&_rdoc=1&_issn=03930440&md5=78248271d6d258a9733bb741f6b337fc\" style=\"color: rgb(1, 86, 170); border: 0px; margin: 0px; padding: 0px; vertical-align: baseline;\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S0393044016302261-si1.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cmath\u003E\u003Cmi\u003E\u003Cspan\u003E-supermanifolds with its local model made of formal power series. We give a positive answer to this question.\u003C\u002Fp\u003E\n"},"priorityTarget":[],"researchTarget":[],"keywords":[{"id":"135922153","title":"Supersymmetry"},{"id":"196420708","title":"Supergeometry"},{"id":"196420712","title":"Higher grading"},{"id":"196420717","title":"Sign rule"},{"id":"196420721","title":"Higher vector bundle"},{"id":"196420725","title":"Split supermanifold"}],"language":{"id":"20592","title":{"ru":"английский","en":"English"},"name":"en"},"related":[{"id":"920022374","title":"Large-𝑁 solution and effective action of a twisted-mass deformed CP⁢(𝑁−1) model","createdAt":"2024-05-03T16:17:23.902Z","authorsByType":{"author":[{"id":"553948730","href":null,"title":{"ru":"Иевлев Е. А.","en":"Ievlev E. A."},"altName":"E. Ievlev","otherName":""},{"id":"927892888","href":null,"title":{"ru":"G S.","en":"Sumbatian G."},"altName":"Sumbatian G.","otherName":""},{"id":"788247252","href":"\u002Forg\u002Fpersons\u002F788247252","title":{"ru":"Юнг А. В.","en":""},"altName":"A. Yung","otherName":""}]},"year":2024,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":null,"en":"\u003Cp\u003EWe study effective dynamics of the nonsupersymmetric two-dimensional CP(N-1) model in the large\u003Cbr\u002F\u003E\nN limit. This model is deformed by a mass term m preserving Z_N symmetry of the Lagrangian. At small m\u003Cbr\u002F\u003E\nthe theory is strongly coupled and resembles the undeformed CP(N-1) model, while at large m it is in a\u003Cbr\u002F\u003E\nweakly coupled Higgs phase with spontaneously broken Z_N.We find the phase transition point and discuss\u003Cbr\u002F\u003E\nthe fate of the kink-antikink “mesons” at strong coupling. We also resolve an issue of instability that arose\u003Cbr\u002F\u003E\nin previous studies of this model.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Physical Review D - Particles, Fields, Gravitation and Cosmology 2024 Vol. 109 No. 8 Article 085021","en":"Physical Review D - Particles, Fields, Gravitation and Cosmology 2024 Vol. 109 No. 8 Article 085021","ru":"Physical Review D 2024 Т. 109 № 8 Статья 085021"},"main":"Ievlev E. A., Sumbatian G., Юнг А. В. et al. Large-𝑁 solution and effective action of a twisted-mass deformed CP⁢(𝑁−1) model \u002F\u002F Physical Review D - Particles, Fields, Gravitation and Cosmology. 2024. Vol. 109. No. 8. Article 085021."}},{"id":"788694334","title":"Flux compactification for the critical non-Abelian vortex and quark masses","createdAt":"2022-10-26T18:54:34.126Z","authorsByType":{"author":[{"id":"788247252","href":"\u002Forg\u002Fpersons\u002F788247252","title":{"ru":"Юнг А. В.","en":""},"altName":"A. Yung","otherName":""}]},"year":2021,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":null,"en":"\u003Cp\u003EIt has been shown that non-Abelian solitonic vortex strings supported in four-dimensional (4D)\u003Cbr\u002F\u003E\nN = 2 supersymmetric QCD (SQCD) with the U(2) gauge group and N_f =4 quark flavors behave\u003Cbr\u002F\u003E\nas critical superstrings. In addition to four translational moduli, the non-Abelian strings under\u003Cbr\u002F\u003E\nconsideration carry six orientational and size moduli. Together they form a ten-dimensional space\u003Cbr\u002F\u003E\nrequired for a superstring to be critical. The target space of the string sigma model is a product of the\u003Cbr\u002F\u003E\nflat four-dimensional space R4 and a Calabi-Yau noncompact threefold Y_6, namely, the conifold. The\u003Cbr\u002F\u003E\nspectrum of low lying closed string states in the associated type IIA string theory was found and\u003Cbr\u002F\u003E\ninterpreted as a spectrum of hadrons in 4D N = 2 SQCD. In particular, the lowest string state appears to\u003Cbr\u002F\u003E\nbe a massless Bogomolny-Prasad-Sommerfeld baryon associated with the deformation of the complex\u003Cbr\u002F\u003E\nstructure modulus b of the conifold. Here we address a problem of switching on quark masses in 4D\u003Cbr\u002F\u003E\nSQCD, which classically breaks the world sheet conformal invariance in the string sigma model. To\u003Cbr\u002F\u003E\navoid this problem we follow a standard string theory approach and use a flux “compactification” to lift\u003Cbr\u002F\u003E\nthe complex structure modulus of the conifold. Namely, we find a solution of supergravity equations of\u003Cbr\u002F\u003E\nmotion with nonzero Neveu-Schwarz 3-form flux. It produces a potential for the baryon b, which leads\u003Cbr\u002F\u003E\nto the runaway vacuum. Using field theory arguments, we interpret 3-form flux in terms of a particular\u003Cbr\u002F\u003E\nchoice of quark masses in 4D SQCD. At the runaway vacuum the conifold degenerates to lower\u003Cbr\u002F\u003E\ndimensions. We interpret this as a flow from a non-Abelian string to an Abelian one.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Physical Review D - Particles, Fields, Gravitation and Cosmology 2021 Vol. 104 No. 2 Article 025007","en":"Physical Review D - Particles, Fields, Gravitation and Cosmology 2021 Vol. 104 No. 2 Article 025007","ru":"Physical Review D 2021 Т. 104 № 2 Статья 025007"},"main":"Юнг А. В. et al. Flux compactification for the critical non-Abelian vortex and quark masses \u002F\u002F Physical Review D - Particles, Fields, Gravitation and Cosmology. 2021. Vol. 104. No. 2. Article 025007."}},{"id":"788694220","title":"Critical non-Abelian vortices and holography for little string theory","createdAt":"2022-10-26T18:40:13.294Z","authorsByType":{"author":[{"id":"553948730","href":null,"title":{"ru":"Иевлев Е. А.","en":"Ievlev E. A."},"altName":"E. Ievlev","otherName":""},{"id":"788247252","href":"\u002Forg\u002Fpersons\u002F788247252","title":{"ru":"Юнг А. В.","en":""},"altName":"A. Yung","otherName":""}]},"year":2021,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":null,"en":"\u003Cp\u003EIt has been shown that non-Abelian vortex string supported in four-dimensional (4D) N =2\u003Cbr\u002F\u003E\nsupersymmetric QCD (SQCD) with the U(2) gauge group and N_f =4 quark flavors becomes a critical\u003Cbr\u002F\u003E\nsuperstring. This string propagates in the ten-dimensional space formed by a product of the flat 4D space\u003Cbr\u002F\u003E\nand an internal space given by a Calabi-Yau noncompact threefold, namely, the conifold. The spectrum of\u003Cbr\u002F\u003E\nclosed string states of the associated string theory was obtained using the equivalence between the critical\u003Cbr\u002F\u003E\nstring on the conifold and the noncritical string on the semi-infinite cigar described by the SL(2;R)\u002FU(1) Wess-Zumino-Novikov-Witten model. This spectrum was identified with the spectrum of hadrons in 4D\u003Cbr\u002F\u003E\nN = 2 SQCD. In order to describe effective interactions of these 4D hadrons in this paper, we study\u003Cbr\u002F\u003E\ncorrelation functions of normalizable vertex operators localized near the tip of the SL(2,R)\u002FU(1) cigar.We\u003Cbr\u002F\u003E\nalso compare our solitonic string approach to the gauge-string duality to the AdS\u002FCFT-type holography for\u003Cbr\u002F\u003E\nlittle string theories. The latter relates off mass-shell correlation functions on the field theory side to\u003Cbr\u002F\u003E\ncorrelation functions of non-normalizable vertex operators on the cigar. We show that in most channels the\u003Cbr\u002F\u003E\nholographic approach works in our theory because normalizable and non-normalizable vertex operators\u003Cbr\u002F\u003E\nwith the same conformal dimension are related due to the reflection from the tip of the cigar. However, we\u003Cbr\u002F\u003E\nfind that holography does not work for lightest hadrons with given baryonic charge.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Physical Review D - Particles, Fields, Gravitation and Cosmology 2021 Vol. 104 No. 11 Article 114033","en":"Physical Review D - Particles, Fields, Gravitation and Cosmology 2021 Vol. 104 No. 11 Article 114033","ru":"Physical Review D 2021 Т. 104 № 11 Статья 114033"},"main":"Ievlev E. A., Юнг А. В. et al. Critical non-Abelian vortices and holography for little string theory \u002F\u002F Physical Review D - Particles, Fields, Gravitation and Cosmology. 2021. Vol. 104. No. 11. Article 114033."}},{"id":"412419016","title":"First Evidence for cos2β\u003E0 and Resolution of the Cabibbo-Kobayashi-Maskawa Quark-Mixing Unitarity Triangle Ambiguity","createdAt":"2020-10-28T11:35:40.929Z","authorsByType":{"author":[{"id":"356275647","href":"\u002Forg\u002Fpersons\u002F356275647","title":{"ru":"Аушев Т. А.","en":"Aushev T."},"altName":"","otherName":""},{"id":"356275933","href":null,"title":{"ru":"Мизюк Р. В.","en":"Mizuk R."},"altName":"","otherName":""},{"id":"356275830","href":"\u002Forg\u002Fpersons\u002F356275830","title":{"ru":"Пахлов П. Н.","en":"Pakhlov P."},"altName":"","otherName":""},{"id":"356275714","href":"\u002Forg\u002Fpersons\u002F356275714","title":{"ru":"Пахлова Г. В.","en":"Pakhlova G."},"altName":"","otherName":""},{"id":"356276039","href":"\u002Forg\u002Fpersons\u002F356276039","title":{"ru":"Углов Т. В.","en":"Uglov T."},"altName":"","otherName":""}]},"year":2018,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":null,"en":"\u003Cp\u003EWe present first evidence that the cosine of the CP-violating weak phase 2β is positive, and hence exclude trigonometric multifold solutions of the Cabibbo-Kobayashi-Maskawa (CKM) Unitarity Triangle using a time-dependent Dalitz plot analysis of B0→D(&lowast;)h0 with D→KS0π+π- decays, where h0 {π0,η,ω} denotes a light unflavored and neutral hadron. The measurement is performed combining the final data sets of the BABAR and Belle experiments collected at the (4S) resonance at the asymmetric-energy B factories PEP-II at SLAC and KEKB at KEK, respectively. The data samples contain (471±3)×106BB pairs recorded by the BABAR detector and (772±11)×106BB pairs recorded by the Belle detector. The results of the measurement are sin2β=0.80±0.14(stat)±0.06(syst)±0.03(model) and cos2β=0.91±0.22(stat)±0.09(syst)±0.07(model). The result for the direct measurement of the angle β of the CKM Unitarity Triangle is β=[22.5±4.4(stat)±1.2(syst)±0.6(model)]°. The measurement assumes no direct CP violation in B0→D(&lowast;)h0 decays. The quoted model uncertainties are due to the composition of the D0→KS0π+π- decay amplitude model, which is newly established by performing a Dalitz plot amplitude analysis using a high-statistics e+e-→cc data sample. CP violation is observed in B0→D(&lowast;)h0 decays at the level of 5.1 standard deviations. The significance for cos2β>0 is 3.7 standard deviations. The trigonometric multifold solution π\u002F2-β=(68.1±0.7)° is excluded at the level of 7.3 standard deviations. The measurement resolves an ambiguity in the determination of the apex of the CKM Unitarity Triangle. © 2018 authors. Published by the American Physical Society.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Physical Review Letters 2018 Vol. 121 No. 26 P. 1–11","en":"Physical Review Letters 2018 Vol. 121 No. 26 P. 1–11","ru":"Physical Review Letters 2018 Т. 121 № 26 С. 1–11"},"main":"Aushev T., Mizuk R., Pakhlov P., Pakhlova G., Uglov T. et al. First Evidence for cos2β\u003E0 and Resolution of the Cabibbo-Kobayashi-Maskawa Quark-Mixing Unitarity Triangle Ambiguity \u002F\u002F Physical Review Letters. 2018. Vol. 121. No. 26. P. 1–11."}},{"id":"217606308","title":"4d N=1 quiver gauge theories and the A_n Bailey lemma","createdAt":"2018-03-26T18:09:45.640Z","authorsByType":{"author":[{"id":"222597077","href":null,"title":{"ru":"Frederic B.","en":"Brunner F."},"altName":"Brunner F.","otherName":""},{"id":"13835525","href":"\u002Forg\u002Fpersons\u002F13835525","title":{"ru":"Спиридонов В. П.","en":"Spiridonov V."},"altName":"","otherName":""}]},"year":2018,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":"\u003Cp\u003E.\u003C\u002Fp\u003E\n","en":"\u003Cp\u003EWe study the integral Bailey lemma associated with the A_n-root system and\u003Cbr\u002F\u003E\nidentities for elliptic hypergeometric integrals generated thereby. Interpreting integrals as\u003Cbr\u002F\u003E\nsuperconformal indices of four-dimensional N = 1 quiver gauge theories with the gauge\u003Cbr\u002F\u003E\ngroups being products of SU(n + 1), we provide evidence for various new dualities. Further\u003Cbr\u002F\u003E\ncon rmation is achieved by explicitly checking that the `t Hooft anomaly matching conditions\u003Cbr\u002F\u003E\nholds. We discuss a flavour symmetry breaking phenomenon for supersymmetric\u003Cbr\u002F\u003E\nquantum chromodynamics (SQCD), and by making use of the Bailey lemma we indicate\u003Cbr\u002F\u003E\nits manifestation in a web of linear quivers dual to SQCD that exhibits full s-confinement.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Journal of High Energy Physics 2018 Vol. 2018 No. 03 P. 1–29","en":"Journal of High Energy Physics 2018 Vol. 2018 No. 03 P. 1–29","ru":"Journal of High Energy Physics 2018 Т. 2018 № 03 С. 1–29"},"main":"Brunner F., Spiridonov V. et al. 4d N=1 quiver gauge theories and the A_n Bailey lemma \u002F\u002F Journal of High Energy Physics. 2018. Vol. 2018. No. 03. P. 1–29."}},{"id":"204088660","title":"Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants","createdAt":"2017-03-17T07:51:50.142Z","authorsByType":{"author":[{"id":"126925345","href":null,"title":{"ru":"Берштейн М. А.","en":"Bershtein M."},"altName":"","otherName":""},{"id":"228099327","href":null,"title":{"ru":"G. B.","en":"Bonelli G."},"altName":"Bonelli G.","otherName":""},{"id":"228099329","href":null,"title":{"ru":"M. R.","en":"Ronzani M."},"altName":"Ronzani M.","otherName":""},{"id":"228099331","href":null,"title":{"ru":"A. T.","en":"Tanzini A."},"altName":"Tanzini A.","otherName":""}]},"year":2017,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":"\u003Cp\u003EWe show that equivariant Donaldson polynomials of compact toric surfaces can be calculated as residues of suitable combinations of Virasoro conformal blocks, by building on AGT correspondence between N=2 supersymmetric gauge theories and two-dimensional conformal field theory.Talk. 1 1 http:\u002F\u002Fsalafrancesco.altervista.org\u002Fwugo2015\u002Ftanzini.pdf. presented by A.T. at the conference Interactions between Geometry and Physics - in honor of Ugo Bruzzo's 60th birthday 17-22 August 2015, Guarujá, São Paulo, Brazil, mostly based on Bawane et al. (0000) and Bershtein et al. (0000). \u003C\u002Fp\u003E\n","en":"\u003Cp\u003EWe show that equivariant Donaldson polynomials of compact toric surfaces can be calculated as residues of suitable combinations of Virasoro conformal blocks, by building on AGT correspondence between N=2 supersymmetric gauge theories and two-dimensional conformal field theory.Talk. 1 1 http:\u002F\u002Fsalafrancesco.altervista.org\u002Fwugo2015\u002Ftanzini.pdf. presented by A.T. at the conference Interactions between Geometry and Physics - in honor of Ugo Bruzzo's 60th birthday 17-22 August 2015, Guarujá, São Paulo, Brazil, mostly based on Bawane et al. (0000) and Bershtein et al. (0000). \u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Journal of Geometry and Physics 2017 Vol. 118 P. 40–50","en":"Journal of Geometry and Physics 2017 Vol. 118 P. 40–50","ru":"Journal of Geometry and Physics 2017 Т. 118 С. 40–50"},"main":"Bershtein M., Bonelli G., Ronzani M., Tanzini A. et al. Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants \u002F\u002F Journal of Geometry and Physics. 2017. Vol. 118. P. 40–50."}},{"id":"195029485","title":"Search for supersymmetry in electroweak production with photons and large missing transverse energy in pp collisions at sqrt(s) = 8 TeV","createdAt":"2016-10-21T19:53:45.314Z","authorsByType":{"author":[{"id":"195029494","href":null,"title":{"ru":"V. K.","en":"Khachatryan V."},"altName":"Khachatryan V.","otherName":""},{"id":"174480967","href":"\u002Forg\u002Fpersons\u002F174480967","title":{"ru":"Ратников Ф. Д.","en":"Ratnikov F."},"altName":"","otherName":""}]},"year":2016,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":"\u003Cp\u003E\n\tResults are reported from a search for supersymmetry with gauge-mediated supersymmetry breaking in electroweak production. Final states with photons and large missing transverse energy ( \u003Cadata-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S037026931630243X&_mathId=si2.gif&_user=111111111&_pii=S037026931630243X&_rdoc=1&_issn=03702693&md5=0807a3245383bc23c20cebfa92fa6818\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S037026931630243X-si2.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cmath\u003E\u003Cmi\u003E) were examined. The data sample was collected in pp collisions at \u003Cadata-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S037026931630243X&_mathId=si1.gif&_user=111111111&_pii=S037026931630243X&_rdoc=1&_issn=03702693&md5=fff33064f7adba2f27892e497c6b93ac\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S037026931630243X-si1.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cmath\u003E with the CMS detector at the LHC and corresponds to 7.4\u003Cadata-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S037026931630243X&_mathId=si4.gif&_user=111111111&_pii=S037026931630243X&_rdoc=1&_issn=03702693&md5=29ec697d9cec5bb1b32c876669df8bc0\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S037026931630243X-si4.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cmath\u003E. The analysis focuses on scenarios in which the lightest neutralino has bino- or wino-like components, resulting in decays to photons and gravitinos, where the gravitinos escape undetected. The data were obtained using a specially designed trigger with dedicated low thresholds, providing good sensitivity to signatures with photons, \u003Cadata-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S037026931630243X&_mathId=si2.gif&_user=111111111&_pii=S037026931630243X&_rdoc=1&_issn=03702693&md5=0807a3245383bc23c20cebfa92fa6818\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S037026931630243X-si2.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cmath\u003E\u003Cmi\u003E, and low hadronic energy. No excess of events over the standard model expectation is observed. The results are interpreted using the model of general gauge mediation. With the wino mass fixed at 10\u003Cadata-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S037026931630243X&_mathId=si5.gif&_user=111111111&_pii=S037026931630243X&_rdoc=1&_issn=03702693&md5=0b531250a475c7b260960d30b9454992\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S037026931630243X-si5.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cmath\u003E above that of the bino, wino masses below 710\u003Cadata-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S037026931630243X&_mathId=si5.gif&_user=111111111&_pii=S037026931630243X&_rdoc=1&_issn=03702693&md5=0b531250a475c7b260960d30b9454992\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S037026931630243X-si5.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cmath\u003E are excluded at 95% confidence level. Constraints are also set in the context of two simplified models, for which the analysis sets the lowest cross section limits on the electroweak production of supersymmetric particles.\u003C\u002Fp\u003E\n","en":"\u003Cp\u003E\n\tResults are reported from a search for supersymmetry with gauge-mediated supersymmetry breaking in electroweak production. Final states with photons and large missing transverse energy ( \u003Cadata-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S037026931630243X&_mathId=si2.gif&_user=111111111&_pii=S037026931630243X&_rdoc=1&_issn=03702693&md5=0807a3245383bc23c20cebfa92fa6818\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S037026931630243X-si2.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cmath\u003E\u003Cmi\u003E) were examined. The data sample was collected in pp collisions at \u003Cadata-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S037026931630243X&_mathId=si1.gif&_user=111111111&_pii=S037026931630243X&_rdoc=1&_issn=03702693&md5=fff33064f7adba2f27892e497c6b93ac\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S037026931630243X-si1.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cmath\u003E with the CMS detector at the LHC and corresponds to 7.4\u003Cadata-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S037026931630243X&_mathId=si4.gif&_user=111111111&_pii=S037026931630243X&_rdoc=1&_issn=03702693&md5=29ec697d9cec5bb1b32c876669df8bc0\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S037026931630243X-si4.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cmath\u003E. The analysis focuses on scenarios in which the lightest neutralino has bino- or wino-like components, resulting in decays to photons and gravitinos, where the gravitinos escape undetected. The data were obtained using a specially designed trigger with dedicated low thresholds, providing good sensitivity to signatures with photons, \u003Cadata-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S037026931630243X&_mathId=si2.gif&_user=111111111&_pii=S037026931630243X&_rdoc=1&_issn=03702693&md5=0807a3245383bc23c20cebfa92fa6818\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S037026931630243X-si2.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cmath\u003E\u003Cmi\u003E, and low hadronic energy. No excess of events over the standard model expectation is observed. The results are interpreted using the model of general gauge mediation. With the wino mass fixed at 10\u003Cadata-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S037026931630243X&_mathId=si5.gif&_user=111111111&_pii=S037026931630243X&_rdoc=1&_issn=03702693&md5=0b531250a475c7b260960d30b9454992\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S037026931630243X-si5.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cmath\u003E above that of the bino, wino masses below 710\u003Cadata-mathurl=\"\u002Fscience?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S037026931630243X&_mathId=si5.gif&_user=111111111&_pii=S037026931630243X&_rdoc=1&_issn=03702693&md5=0b531250a475c7b260960d30b9454992\" title=\"View the MathML source\"\u003E\u003Cimg data-inlimgeid=\"1-s2.0-S037026931630243X-si5.gif\" data-loaded=\"true\" \u002F\u003E\u003C\u002Fa\u003E\u003Cmath\u003E are excluded at 95% confidence level. Constraints are also set in the context of two simplified models, for which the analysis sets the lowest cross section limits on the electroweak production of supersymmetric particles.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Physics Letters B 2016 Vol. 759 P. 479–500","en":"Physics Letters B 2016 Vol. 759 P. 479–500","ru":"Physics Letters B 2016 Т. 759 С. 479–500"},"main":"Khachatryan V., Ratnikov F. et al. Search for supersymmetry in electroweak production with photons and large missing transverse energy in pp collisions at sqrt(s) = 8 TeV \u002F\u002F Physics Letters B. 2016. Vol. 759. P. 479–500."}},{"id":"135922131","title":"Instantons and 2d Superconformal field theory","createdAt":"2014-10-23T02:04:26.476Z","authorsByType":{"author":[{"id":"126925345","href":null,"title":{"ru":"Берштейн М. А.","en":"Bershtein M."},"altName":"","otherName":""},{"id":"135922196","href":null,"title":{"ru":"Александр Абрамович Б.","en":"Белавин А. А."},"altName":"Белавин А. А.","otherName":""},{"id":"135922198","href":null,"title":{"ru":"Владимир Александрович Б.","en":"Белавин В. А."},"altName":"Белавин В. А.","otherName":""}]},"year":2011,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":null,"en":"\u003Cp\u003E\n\t\u003Cspan\u003EA recently proposed correspondence between 4-dimensional N=2 SUSY SU(k) gauge theories on R^4\u002FZ_m and SU(k) Toda-like theories with Z_m parafermionic symmetry is used to construct four-point N=1 super Liouville conformal block, which corresponds to the particular case k=m=2. \u003C\u002Fp\u003E\n\u003Cp\u003E\n\t\u003Cbr \u002F\u003E\n\t\u003Cspan\u003EThe construction is based on the conjectural relation between moduli spaces of SU(2) instantons on R^4\u002FZ_2 and algebras like \\hat{gl}(2)_2\\times NSR. This conjecture is confirmed by checking the coincidence of number of fixed points on such instanton moduli space with given instanton number N and dimension of subspace degree N in the representation of such algebra.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Journal of High Energy Physics 2011 Vol. 9 No. 117","en":"Journal of High Energy Physics 2011 Vol. 9 No. 117","ru":"Journal of High Energy Physics 2011 Т. 9 № 117"},"main":"Bershtein M., Белавин А. А., Белавин В. А. et al. Instantons and 2d Superconformal field theory \u002F\u002F Journal of High Energy Physics. 2011. Vol. 9. No. 117."}}],"metaTegs":[{"id":"twitter_card","name":"twitter:card","content":"summary"},{"id":"og:title","property":"og:title","content":"Splitting theorem for Z2 n-supermanifolds"},{"id":"mrc__share_title","name":"mrc__share_title","content":"Splitting theorem for Z2 n-supermanifolds"},{"id":"itemprop","itemprop":"name","content":"Splitting theorem for Z2 n-supermanifolds"},{"id":"twitter:title","name":"twitter:title","content":"Splitting theorem for Z2 n-supermanifolds"},{"id":"description","name":"description","content":"Smooth -supermanifolds have been introduced and studied recently. The corresponding sign rule is given by the ‘scalar product’ of the involved -degrees. It exhibits interesting changes in comparison with the sign rule using the parity of the total degree. With the new rule, nonzero degree even coordinates are not nilpotent, and even (resp."},{"id":"og:description","property":"og:description","content":"Smooth -supermanifolds have been introduced and studied recently. The corresponding sign rule is given by the ‘scalar product’ of the involved -degrees. It exhibits interesting changes in comparison with the sign rule using the parity of the total degree. With the new rule, nonzero degree even coordinates are not nilpotent, and even (resp."},{"id":"mrc__share_description","name":"mrc__share_description","content":"Smooth -supermanifolds have been introduced and studied recently. The corresponding sign rule is given by the ‘scalar product’ of the involved -degrees. It exhibits interesting changes in comparison with the sign rule using the parity of the total degree. With the new rule, nonzero degree even coordinates are not nilpotent, and even (resp."},{"id":"description","itemprop":"description","content":"Smooth -supermanifolds have been introduced and studied recently. The corresponding sign rule is given by the ‘scalar product’ of the involved -degrees. It exhibits interesting changes in comparison with the sign rule using the parity of the total degree. With the new rule, nonzero degree even coordinates are not nilpotent, and even (resp."},{"id":"twitter:description","name":"twitter:description","content":"Smooth -supermanifolds have been introduced and studied recently. The corresponding sign rule is given by the ‘scalar product’ of the involved -degrees."},{"id":"og:image","property":"og:image","content":"https:\u002F\u002Fwww.hse.ru\u002Fimages\u002Ffb\u002Fhse_ru_thumb.jpg"},{"id":"image","itemprop":"image","content":"https:\u002F\u002Fwww.hse.ru\u002Fimages\u002Ffb\u002Fhse_ru_thumb.jpg"},{"id":"link_image_src","rel":"image_src","href":"https:\u002F\u002Fwww.hse.ru\u002Fimages\u002Ffb\u002Fhse_ru_thumb.jpg"},{"id":"twitter:image","name":"twitter:image","content":"https:\u002F\u002Fwww.hse.ru\u002Fimages\u002Ffb\u002Fhse_ru_thumb.jpg"},{"id":"og:url","property":"og:url","content":"https:\u002Fpublications.hse.ru\u002Fen\u002Farticles\u002F196420690"},{"id":"twitter:url","name":"twitter:url","content":"https:\u002Fpublications.hse.ru\u002Fen\u002Farticles\u002F196420690"},{"id":"og:type","property":"og:type","content":"website"},{"id":"language","name":"citation_language","content":"en"},{"id":"title","name":"citation_title","content":"Splitting theorem for Z2 n-supermanifolds"},{"id":"journal_title","name":"citation_journal_title","content":"Journal of Geometry and Physics"},{"id":"doi","name":"citation_doi","content":"10.1016\u002Fj.geomphys.2016.09.006"},{"id":"publication_date","name":"citation_publication_date","content":2016},{"id":"issn","name":"citation_issn","content":"0393-0440"},{"id":"eissn","name":"citation_issn","content":"1879-1662"},{"id":"keywords","name":"citation_keywords","content":"Supersymmetry; Supergeometry; Higher grading; Sign rule; Higher vector bundle; Split supermanifold"},{"id":"volume","name":"citation_volume","content":"110"},{"id":"firstpage","name":"citation_firstpage","content":"393"},{"id":"lastpage","name":"citation_lastpage","content":"401"},{"id":"pages","name":"citation_pages","content":"393–401"},{"id":"author_0","name":"citation_author","content":"T. Covolo"},{"id":"author_1","name":"citation_author","content":"Grabowski J."},{"id":"author_2","name":"citation_author","content":"Poncin N."}]},"templateRuVersion":true,"templateOrigin":{"language":"ru","campus":{},"canonical":"publications.hse.ru\u002F","siteTitleExtraShort":"НИУ ВШЭ","siteCopyrightDate":"1993–2026","editURL":"https:\u002F\u002Fwww.hse.ru\u002Fpubs\u002F?category=article&id=196420690&newportal=1","counter":["\n\t\t\t\t\u003Cscript src=\"https:\u002F\u002Fwww.hse.ru\u002Ff\u002Fgtm\u002Fip\"\u003E\u003C\u002Fscript\u003E\n\t\t\t\t\u003Cscript type='text\u002Fjavascript'\u003E\u003C!--\n\t\t\t\t(function(m,e,t,r,i,k,a){m[i]=m[i]||function(){(m[i].a=m[i].a||[]).push(arguments)};\n\t\t\t\tm[i].l=1*new Date();k=e.createElement(t),a=e.getElementsByTagName(t)[0],k.async=1,k.src=r,a.parentNode.insertBefore(k,a)})(window, document, \"script\", \"https:\u002F\u002Fmc.yandex.ru\u002Fmetrika\u002Ftag.js\", \"ym\");\n\t\t\t\ttry {\n\t\t\t\t\tym(32635220, \"init\", {\n\t\t\t\t\t\tid:32635220,\n\t\t\t\t\t\tclickmap:true,\n\t\t\t\t\t\ttrackLinks:true,\n\t\t\t\t\t\taccurateTrackBounce:true,\n\t\t\t\t\t\twebvisor:false,\n\t\t\t\t\t\ttrackHash:true\n\t\t\t\t\t});\n\t\t\t\t\tym(36283385, \"init\", {\n\t\t\t\t\t\tid:36283385,\n\t\t\t\t\t\tclickmap:true,\n\t\t\t\t\t\ttrackLinks:true,\n\t\t\t\t\t\taccurateTrackBounce:true,\n\t\t\t\t\t\twebvisor:true,\n\t\t\t\t\t\ttrackHash:true\n\t\t\t\t\t});\n\t\t\t\t} catch(e) {}\n\t\t\t\t(function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='\u002F\u002Fwww.googletagmanager.com\u002Fgtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-P6DCQX');\n\t\t\t\t\u002F\u002F--\u003E\n\t\t\t\t\u003C\u002Fscript\u003E\n\t\t\t"],"languages":[{"language":"RU","href":"\u002F","selected":false},{"language":"EN","href":"\u002Fen\u002F","selected":false}]},"templateCampus":[],"templateBreadCrumbs":[{"title":"Национальный исследовательский университет «Высшая школа экономики»","url":"\u002F"},{"title":"Публикации ВШЭ","url":"\u002F"},{"title":"Статьи","url":"\u002Farticles"},{"title":"Splitting theorem for Z2 n-supermanifolds","url":"\u002Farticles\u002F196420690"}],"templateNavigationFooter":{"id":"124916299","title":"Москва - стандартный блок","campus":"22723","groups":[{"url":"\u002F\u002Fwww.hse.ru\u002Forg\u002Fhse\u002Finfo\u002F","hide":0,"links":[{"url":"https:\u002F\u002Ffigures.hse.ru\u002F","hide":0,"title":"Цифры и факты","new_window":0,"is_subtitle":0},{"url":"\u002F\u002Fwww.hse.ru\u002Forgstructure\u002F","hide":0,"title":"Руководство и структура","new_window":0},{"url":"https:\u002F\u002Fsustainability.hse.ru\u002F","hide":0,"title":"Устойчивое развитие в НИУ ВШЭ","new_window":0,"is_subtitle":0},{"url":"\u002F\u002Fwww.hse.ru\u002Forg\u002Fpersons\u002F","hide":0,"title":"Преподаватели и сотрудники","new_window":0},{"url":"\u002F\u002Fwww.hse.ru\u002Fbuildinghse","hide":0,"title":"Корпуса и общежития","new_window":0},{"url":"https:\u002F\u002Fwww.hse.ru\u002Forg\u002Fhse\u002Faup\u002Fprocurement\u002F","hide":0,"title":"Закупки","new_window":0},{"url":"\u002F\u002Fwww.hse.ru\u002Fappeal\u002F","hide":0,"title":"Обращения граждан в НИУ ВШЭ","new_window":0},{"url":"\u002F\u002Fendowment.hse.ru\u002F","hide":0,"title":"Фонд целевого капитала","new_window":0},{"url":"https:\u002F\u002Fwww.hse.ru\u002Fanticorruption","hide":0,"title":"Противодействие коррупции","new_window":0},{"url":"https:\u002F\u002Fwww.hse.ru\u002Fanticorruption\u002Finformation","hide":0,"title":"Сведения о доходах, расходах, об имуществе и обязательствах имущественного характера","new_window":0},{"url":"\u002F\u002Fwww.hse.ru\u002Fsveden\u002F","hide":0,"title":"Сведения об образовательной организации","new_window":0},{"url":"https:\u002F\u002Finclusive.hse.ru\u002F","hide":0,"title":"Людям с ограниченными возможностями здоровья","new_window":0},{"url":"https:\u002F\u002Fpay.hse.ru\u002F","hide":0,"title":"Единая платежная страница","new_window":0},{"url":"https:\u002F\u002Fwww.hse.ru\u002Fcareer","hide":0,"title":"Работа в Вышке","new_window":0}],"title":"О ВЫШКЕ","groups":[],"new_window":0},{"url":"\u002F\u002Fwww.hse.ru\u002Feducation\u002F","hide":0,"links":[{"url":"\u002F\u002Fschool.hse.ru","hide":0,"title":"Лицей","new_window":0},{"url":"https:\u002F\u002Ffdp.hse.ru\u002F","hide":0,"title":"Довузовская подготовка","new_window":0},{"url":"\u002F\u002Folymp.hse.ru\u002F","hide":0,"title":"Олимпиады","new_window":0},{"url":"\u002F\u002Fba.hse.ru\u002F","hide":0,"title":"Прием в бакалавриат","new_window":0},{"url":"https:\u002F\u002Fwww.hse.ru\u002Fplus","hide":0,"title":"Вышка+","new_window":0},{"url":"\u002F\u002Fma.hse.ru\u002F","hide":0,"title":"Прием в магистратуру","new_window":0},{"url":"\u002F\u002Faspirantura.hse.ru\u002F","hide":0,"title":"Аспирантура","new_window":0},{"url":"\u002F\u002Fbusedu.hse.ru\u002F","hide":0,"title":"Дополнительное образование","new_window":0},{"url":"https:\u002F\u002Fcareer.hse.ru\u002F","hide":0,"title":"Центр развития карьеры","new_window":0},{"url":"http:\u002F\u002Finc.hse.ru\u002F","hide":0,"title":"Бизнес-инкубатор ВШЭ","new_window":0,"is_subtitle":0},{"url":"https:\u002F\u002Fdd.hse.ru\u002F","hide":0,"title":"Образовательные партнерства","new_window":0,"is_subtitle":0},{"url":"https:\u002F\u002Fwww.hse.ru\u002Ffeedback","hide":0,"title":"Обратная связь и взаимодействие с получателями услуг","new_window":0,"is_subtitle":0}],"title":"ОБРАЗОВАНИЕ","groups":[],"new_window":0},{"url":"\u002F\u002Fwww.hse.ru\u002Fscience\u002F","hide":0,"links":[{"url":"\u002F\u002Fwww.hse.ru\u002Fscience\u002Fcenters","hide":0,"title":"Научные подразделения","new_window":0},{"url":"https:\u002F\u002Fwww.hse.ru\u002Forg\u002Fprojects\u002F","hide":0,"title":"Исследовательские проекты","new_window":0,"is_subtitle":0},{"url":"\u002F\u002Fwww.hse.ru\u002Fmonitoring\u002F","hide":0,"title":"Мониторинги","new_window":0},{"url":"\u002F\u002Fwww.hse.ru\u002Fscience\u002Fdisscoun\u002F","hide":0,"title":"Диссертационные советы","new_window":0},{"url":"https:\u002F\u002Faspirantura.hse.ru\u002Fdefence\u002Fannouncements\u002F","hide":0,"title":"Защиты диссертаций","new_window":0},{"url":"\u002F\u002Facademics.hse.ru\u002F","hide":0,"title":"Академическое развитие","new_window":0},{"url":"\u002F\u002Fwww.hse.ru\u002Fscience\u002Fhsegrants","hide":0,"title":"Конкурсы и гранты","new_window":0},{"url":"https:\u002F\u002Fsezam.hse.ru\u002F","hide":0,"title":"Внешние научно-информационные ресурсы","new_window":0,"is_subtitle":0}],"title":"НАУКА","groups":[],"new_window":0},{"url":"\u002F\u002Fpublications.hse.ru","hide":0,"links":[{"url":"https:\u002F\u002Flibrary.hse.ru\u002F","hide":0,"title":"Библиотека","new_window":0},{"url":"\u002F\u002Fid.hse.ru","hide":0,"title":"Издательский дом ВШЭ","new_window":0},{"url":"\u002F\u002Fbookshop.hse.ru\u002F","hide":0,"title":"Книжный магазин «БукВышка»","new_window":0},{"url":"https:\u002F\u002Fprint.hse.ru\u002F","hide":0,"title":"Типография","new_window":0},{"url":"https:\u002F\u002Fmc.hse.ru\u002F","hide":0,"title":"Медиацентр","new_window":0},{"url":"\u002F\u002Fwww.hse.ru\u002Fscience\u002Fjournals","hide":0,"title":"Журналы ВШЭ","new_window":0},{"url":"\u002F\u002Fpublications.hse.ru","hide":0,"title":"Публикации","new_window":0}],"title":"РЕСУРСЫ","groups":[],"new_window":0}],"default":1,"techName":""},"templateLinks":{"id":"8d2db9e1-907c-46d5-a8ba-33bd2dfc7e3e","links":[{"url":"http:\u002F\u002Fwww.minobrnauki.gov.ru\u002F","hide":0,"title":"Министерство науки и высшего образования РФ"},{"url":"https:\u002F\u002Fedu.gov.ru\u002F","hide":0,"title":"Министерство просвещения РФ"},{"url":"http:\u002F\u002Fwww.edu.ru","hide":0,"title":"Федеральный портал «Российское образование»"},{"url":"https:\u002F\u002Felearning.hse.ru\u002Fmooc","hide":0,"title":"Массовые открытые онлайн-курсы"}],"title":"Москва","campus":"22723","default":1},"templateTopHseName":{"value":"Национальный исследовательский университет","title":"Высшая школа экономики!!"},"templateCopyrightFooter":{"links":[{"url":"https:\u002F\u002Fwww.hse.ru\u002Fcontacts.html","hide":0,"title":"Адреса и контакты","target":"exclude_main"},{"url":"https:\u002F\u002Fwww.hse.ru\u002Fcopyright","hide":0,"title":"Условия использования материалов"},{"url":"https:\u002F\u002Fwww.hse.ru\u002Fdata_protection_regulation","hide":0,"title":"Политика конфиденциальности"},{"url":"https:\u002F\u002Fportal.hse.ru\u002Frecomtech","hide":0,"title":"Правила применения рекомендательных технологий в НИУ ВШЭ","target":"main"},{"url":"https:\u002F\u002Fwww.hse.ru\u002Fsitemap.html","hide":0,"title":"Карта сайта"}],"__last_total":2},"templateT":{"name":"added","title":"Добавлено","en_title":"Added","addFilter":"Добавить критерий","address":"Адрес","addToCalendar":"Добавить в календарь","advancedSearch":"Расширенный поиск","allCampuses":"Все кампусы","allDivisions":"Все подразделения","allEvents":"Все мероприятия","allMaterials":"Все материалы","allNews":"Все новости","announcements":"Анонсы","anotherSite":"Текст на другом сайте","any":"Любой","archive":"Архив","around_hse":"Вокруг Вышки","articles":"Статьи","author":"Автор","authors":"Авторы","bachelor":"Бакалаврская программа","bachelorShort":"Бакалавриат","back":"Назад","basedProject":"Публикация подготовлена по результатам проекта","book":"Книга","bookChapters":"Главы книги","bookmark":"Закладки","books":"Книги","browserOutdate":"В старых версиях браузеров сайт может отображаться некорректно. Для оптимальной работы с сайтом рекомендуем воспользоваться современным браузером","byName":"по названию","byYear":"по году","campus":"Кампус","campusIn":"Кампус в","chapter":"Глава в книге","chapters":"Главы в книгах","cmn_editor":"Под общей редакцией","comment":"Комментарий","completeText":"Полный текст","contacts":"Контакты","controlUserLabel":"Личный кабинет сотрудника ВШЭ","date":"Дата","demoFile":"Демонстрационный файл","description":"Описание","division":"Подразделение","divisions":"Подразделения","editedBy":"Под науч. редакцией","editor":"Редактор","editURL":"Редактору","english":"английский","eventDissertation":"Предстоящие защиты диссертаций","eventEnded":"Мероприятие завершено","events":"Мероприятия","feedback":"Выразительная кнопка","fetchError":"Ошибка получения данных с сервера. Повторите попытку позже.","filters":"Фильтры","firstName":"Имя","foldableMore":"Подробнее","forums":"Форумы","fundErEmail":"Неправильный адрес электронной почты","importantAnnouncements":"Важные объявления","inBook":"В книге","issue":"Статья","keywords":"Ключевые слова","kind":"Тип","language":"Язык","lastName":"Фамилия","leader":"Руководитель авторского коллектива","magister":"Магистерская программа","magisterShort":"Магистратура","mainPageNews":"Вышка.Главное","make_editor":"Составитель","mandarchive":"Объединенный электронный архив Осипа Мандельштама","metaDescription":"Не для школы, а для жизни мы учимся","metaImage":"https:\u002F\u002Fwww.hse.ru\u002Fimages\u002Ffb\u002Fhse_ru_thumb.jpg","metaTitle":"Национальный исследовательский университет «Высшая школа экономики»","metaUrl":"https:\u002F\u002Fwww.hse.ru","middleName":"Отчество","mistakeText":"\u003Cbr\u002F\u003E \u003Cnoindex\u003E \u003Cspan class=\"with-icon with-icon_tick\"\u003E \u003C\u002Fspan\u003E \u003Cp class=\"last_child with-indent\"\u003E Нашли \u003Cspan class=\"wrong\"\u003Eопечатку\u003C\u002Fspan\u003E?\u003Cbr \u002F\u003E Выделите её, нажмите Ctrl+Enter и отправьте нам уведомление. Спасибо за участие! \u003C\u002Fp\u003E \u003C\u002Fnoindex\u003E","more":"еще","moreNews":"Еще новости","moscow":"Москва","new":"Новое","news":"Новости","next":"Далее","nnov":"Нижний Новгород","noResults":"Ничего не найдено","notFound":"Ничего не найдено","online":"Онлайн","openAccessDoc":"Полный текст доступен публично","passedDissertation":"Прошедшие защиты диссертаций","perm":"Пермь","preprint":"Препринт","preprints":"Препринты","priorityAreas":"Приоритетные направления","priorityAreasDev":"Приоритетные направения развития","publication":"Публикация","publications":"Публикации","recursiveSearch":"Искать в дочерних","report_publication":"Сообщить о публикации","researchTarget":"Научное направление","resp_editor":"Ответственный редактор","russian":"русский","sci_editor":"Научный редактор","search":"Поиск","searchPlaceholder":"Поиск публикаций…","select":"Выберите","similarPublications":"Похожие публикации","sitemap":"Карта сайта","social":"Мы в соцсетях","sort":"Сортировка","spb":"Санкт-Петербург","specialty":"Программа специалитета","staff":"Сотрудники","subDepartment":"Подразделение","subject":"Тематика","subscribe":"Подписка","subscribeEvents":"Подписаться на анонсы","text":"Текст","textAuthor":"Автор текста","textAuthors":"Авторы текста","today":"Сегодня","tomorrow":"Завтра","topics":"Темы","translationTo":"Перевод этой статьи на","translator":"Переводчик","trn_editor":"Научный редактор перевода","universityLife":"Вышка для своих","universityLifeDescription":"Студентам и сотрудникам","universityMetaDescription":"Национальный исследовательский университет «Высшая школа экономики» (НИУ ВШЭ) — один из крупнейших университетов России. Федеральное государственное высшее учебное заведение, созданное в 1992 году","universityMetaTitle":"Национальный исследовательский университет «Высшая школа экономики»","usefulLinks":"Быстрые ссылки","video":"Видео","videoVersionLink":"видеоверсия доклада","visionLabel":"Версия для слабовидящих","vkrGrade":"Оценка","vkrStudent":"ФИО студента","vkrSupervisor":"Научный руководитель","vkrText":"Текст работы","vkrYear":"Год защиты","year":"Год"},"templateTopMenu":[{"url":"","hide":0,"item":[{"url":"https:\u002F\u002Fwww.hse.ru\u002Fscience\u002Fjournals","hide":0,"title":"Журналы Высшей школы экономики"},{"url":"https:\u002F\u002Fid.hse.ru","hide":0,"title":"Издательский дом ВШЭ"},{"url":"https:\u002F\u002Fwww.hse.ru\u002Fscience\u002Freports","hide":0,"title":"Доклады ВШЭ"}],"title":"","separator":0},{"url":"","hide":0,"item":[{"url":"https:\u002F\u002Fwp.hse.ru\u002F","hide":0,"title":"Препринты"},{"url":"https:\u002F\u002Fwww.hse.ru\u002Forg\u002Fhse\u002Fprimarydata\u002F","hide":0,"title":"Статистические сборники ВШЭ"},{"url":"https:\u002F\u002Fwww.hse.ru\u002Fmonitoring\u002F","hide":0,"title":"Мониторинговые исследования"}],"title":"","separator":0},{"url":"","hide":0,"item":[{"url":"https:\u002F\u002Fwww.hse.ru\u002Fsci\u002Fdiss\u002F","hide":0,"title":"Авторефераты и диссертации"},{"url":"https:\u002F\u002Fwww.hse.ru\u002Fnews\u002Flife\u002F180349236.html","hide":0,"title":"Критерии оценки публикационной активности"}],"title":"","separator":0}],"templateDevLine":[{"id":"66508908","title":"бизнес-информатика","selected":false,"children":[]},{"id":"25157876","title":"государственное и муниципальное управление","selected":false,"children":[]},{"id":"25157880","title":"гуманитарные науки","selected":false,"children":[]},{"id":"66508912","title":"инженерные науки","selected":false,"children":[]},{"id":"25157882","title":"компьютерно-математическое","selected":false,"children":[]},{"id":"66508910","title":"математика","selected":false,"children":[]},{"id":"25157874","title":"менеджмент","selected":false,"children":[]},{"id":"25157878","title":"право","selected":false,"children":[]},{"id":"25157872","title":"социология","selected":false,"children":[]},{"id":"25157870","title":"экономика","selected":false,"children":[]}],"templateYears":[2027,2026,2025,2024,2023,2022,2021,2020,2019,2018,2017,2016,2015,2014,2013,2012,2011,2010,2009,2008,2007,2006,2005,2004,2003,2002,2001,2000,1999,1998,1997,1996,1995,1994,1993,1992,1991,1990,1989,1988,1987,1986,1985,1984,1983,1982,1981,1980,1979,1978,1977,1976,1975,1974,1973,1972,1971,1970,1969,1968,1967,1966,1965,1964,1963,1958],"templateResearchTarget":[{"id":"220096686","title":"Гуманитарные науки","selected":false,"children":[{"id":"218116720","title":"Искусствоведение","selected":false},{"id":"218116722","title":"История и археология","selected":false},{"id":"219466961","title":"Прочие гуманитарные науки","selected":false},{"id":"218116768","title":"Филология и лингвистика","selected":false},{"id":"218116770","title":"Философия, этика, религиоведение","selected":false}]},{"id":"220096696","title":"Естественные науки","selected":false,"children":[{"id":"218116712","title":"Биология","selected":false},{"id":"218116726","title":"Компьютерные науки","selected":false},{"id":"218116728","title":"Математика","selected":false},{"id":"218116740","title":"Науки о Земле","selected":false},{"id":"218116766","title":"Физика","selected":false},{"id":"218116776","title":"Химия","selected":false}]},{"id":"220096692","title":"Медицинские науки","selected":false,"children":[{"id":"218116718","title":"Здравоохранение","selected":false},{"id":"218116724","title":"Клиническая медицина","selected":false},{"id":"218116732","title":"Медицинские биотехнологии","selected":false},{"id":"218116772","title":"Фундаментальная медицина","selected":false}]},{"id":"220096690","title":"Сельскохозяйственные науки","selected":false,"children":[{"id":"218116714","title":"Ветеринарные науки","selected":false},{"id":"218116716","title":"Животноводство и молочное дело","selected":false},{"id":"218116754","title":"Сельское хозяйство, лесное хозяйство, рыбное хозяйство","selected":false},{"id":"218116756","title":"Сельскохозяйственные биотехнологии","selected":false}]},{"id":"220096688","title":"Социальные науки","selected":false,"children":[{"id":"218116730","title":"Медиа и коммуникации","selected":false},{"id":"218116742","title":"Образование","selected":false},{"id":"218116744","title":"Политология, международные отношения и ГМУ","selected":false},{"id":"218116746","title":"Право","selected":false},{"id":"219466959","title":"Прочие социальные науки","selected":false},{"id":"218116750","title":"Психология","selected":false},{"id":"218116758","title":"Социальная и экономическая география (включая урбанистику и транспорт)","selected":false},{"id":"218116760","title":"Социология (включая демографию и антропологию)","selected":false},{"id":"218116780","title":"Экономика и менеджмент","selected":false}]},{"id":"220096694","title":"Технические науки","selected":false,"children":[{"id":"218116734","title":"Медицинские технологии","selected":false},{"id":"218116736","title":"Механика и машиностроение","selected":false},{"id":"218116738","title":"Нанотехнологии","selected":false},{"id":"218116748","title":"Промышленные биотехнологии","selected":false},{"id":"218116752","title":"Рациональное природопользование","selected":false},{"id":"218116762","title":"Строительство","selected":false},{"id":"218116764","title":"Технологии материалов","selected":false},{"id":"218116774","title":"Химические технологии","selected":false},{"id":"218116778","title":"Экологические биотехнологии","selected":false},{"id":"218116782","title":"Электроника и электротехника","selected":false}]}],"templateNews":[{"id":"1159127895","publ_date":"1778825752837","publ_date2":"15.05.2026","title":"В НИУ ВШЭ разрабатывают нейросеть для сферы науки и инноваций","href":"https:\u002F\u002Fpublications.hse.ru\u002Fnews\u002Fr\u002F1159127895\u002F","annotation":"Исследователи НИУ ВШЭ учат большие языковые модели понимать русскоязычную научную терминологию, увеличивая при этом их энергоэффективность. Адаптированная модель работает в 2,7 раза быстрее и требует на 73% меньше памяти, чем исходная открытая модель, что позволяет запускать ее на более доступном оборудовании. Программа прошла государственную регистрацию."},{"id":"1159159516","publ_date":"1778832870404","publ_date2":"15.05.2026","title":"Стартовал совместный спецпроект бренд-медиа Вышки IQ Media и iFORA ИСИЭЗ","href":"https:\u002F\u002Fpublications.hse.ru\u002Fnews\u002Fr\u002F1159159516\u002F","annotation":"В мае 2026 года стартовал научно-популярный проект «Искусственный интеллект: технологии, данные и будущее», который стал результатом работы двух команд — проекта iFORA Института статистических исследований и экономики знаний НИУ ВШЭ и редакции бренд-медиа IQMedia. Медийно-аналитический спецпроект посвящен современному развитию искусственного интеллекта и аналитике больших данных."},{"id":"1158891081","publ_date":"1778758379752","publ_date2":"14.05.2026","title":"\u003Ca\u003EУченые ФКН ВШЭ представили работы в сфере ИИ и биоинформатики на ICLR 2026","href":"https:\u002F\u002Fpublications.hse.ru\u002Fnews\u002Fr\u002F1158891081\u002F","annotation":"Ученые Института искусственного интеллекта и цифровых наук факультета компьютерных наук ВШЭи студенты трека «ИИ360: Инженерия искусственного интеллекта» бакалаврской программы «Прикладная математика и информатика» приняли участие в международной конференции ICLR — одном из самых авторитетных мировых форумов в области машинного обучения и представления данных. В этом году конференция состоялась в Рио-де-Жанейро (Бразилия)."}],"templateLogo":{"href":"\u002F","title":"publications"},"templatePrimaryMenu":[{"id":0,"href":"\u002Fbooks\u002F","title":"books","cls":"navigation__item pubs-primary_menu__item"},{"id":1,"href":"\u002Farticles\u002F","title":"articles","cls":"navigation__item pubs-primary_menu__item"},{"id":2,"href":"\u002Fchapters\u002F","title":"chapters","cls":"navigation__item pubs-primary_menu__item"},{"id":3,"href":"\u002Fpreprints\u002F","title":"preprints","cls":"navigation__item pubs-primary_menu__item"}],"templateSecondaryMenu":[{"id":0,"href":"https:\u002F\u002Fscientometrics.hse.ru\u002Fverification","title":"Верификация публикаций","showItem":true,"cls":"navigation__item pubs-secondary_menu__item"},{"id":1,"href":"\u002Fsearch","title":"Расширенный поиск","showItem":true,"cls":"navigation__item pubs-secondary_menu__item"},{"id":2,"href":"\u002Fcopyright","title":"Правила использования материалов","showItem":true,"cls":"navigation__item pubs-secondary_menu__item"},{"id":3,"href":"https:\u002F\u002Fwww.hse.ru\u002Fscience\u002F","title":"Наука в ВШЭ","showItem":true,"cls":"navigation__item pubs-secondary_menu__item"}],"templateSV":{"svSize":{"options":[{"id":"1","dataType":"size","title":"A","dataValue":"normal","class":"sv-control__item sv-control__item--s_normal","active":true},{"id":"2","dataType":"size","title":"A","dataValue":"medium","class":"sv-control__item sv-control__item--s_medium","active":false},{"id":"3","dataType":"size","title":"A","dataValue":"large","class":"sv-control__item sv-control__item--s_large","active":false}],"value":null,"label":"Размер"},"svSpacing":{"options":[{"id":"1","dataType":"spacing","title":"АБВ","dataValue":"normal","class":"sv-control__item sv-control__item--ls_normal","active":true},{"id":"2","dataType":"spacing","title":"АБВ","dataValue":"medium","class":"sv-control__item sv-control__item--ls_medium","active":false},{"id":"3","dataType":"spacing","title":"АБВ","dataValue":"large","class":"sv-control__item sv-control__item--ls_large","active":false}],"value":null,"label":"Интервал"},"svContrast":{"options":[{"id":"1","dataType":"contrast","title":"A","dataValue":"normal","class":"sv-control__item sv-control__item---color1","active":true},{"id":"2","dataType":"contrast","title":"A","dataValue":"invert","class":"sv-control__item sv-control__item---color2","active":false},{"id":"3","dataType":"contrast","title":"A","dataValue":"blue","class":"sv-control__item sv-control__item---color3","active":false},{"id":"4","dataType":"contrast","title":"A","dataValue":"beige","class":"sv-control__item sv-control__item---color4","active":false},{"id":"5","dataType":"contrast","title":"A","dataValue":"brown","class":"sv-control__item sv-control__item---color5","active":false}],"value":null,"label":"Схема"},"svImage":{"options":[{"id":"1","dataType":"image","title":"","dataValue":"on","class":"sv-control__item sv-control__item--image_on","active":true},{"id":"2","dataType":"image","title":"","dataValue":"off","class":"sv-control__item sv-control__item--image_on","active":false}],"value":null,"label":"Картинки"}},"route":{"name":"article","path":"\u002Farticles\u002F196420690","hash":"","query":{},"params":{"id":"196420690"},"fullPath":"\u002Farticles\u002F196420690","meta":{},"from":{"name":null,"path":"\u002F","hash":"","query":{},"params":{},"fullPath":"\u002F","meta":{}}}};(function(){var s;(s=document.currentScript||document.scripts[document.scripts.length-1]).parentNode.removeChild(s);}()); (function() {
const s = document.createElement('script');
s.type = 'text/javascript';
s.async = true;
s.src = '/f/src/_/jquery.orfo.js';
s.onload = s.onreadystatechange = () => $.fn.hseOrfo && $(document).hseOrfo({'lang': window.__INITIAL_STATE__.templateRuVersion ? 'ru' : 'en'});
const t = document.getElementsByTagName('script')[0];
t.parentNode.insertBefore(s, t);
})();$