Splitting theorem for Z2 n-supermanifolds

T. Covolo; Grabowski J.; Poncin N.

doi:10.1016/j.geomphys.2016.09.006

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Splitting theorem for Z2 n-supermanifolds

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

Covolo T., 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. Language: English DOI Keywords: Supersymmetry Supergeometry Higher grading Sign rule Higher vector bundle Split supermanifold Similar publications 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 We study effective dynamics of the nonsupersymmetric two-dimensional CP(N-1) model in the large
N limit. This model is deformed by a mass term m preserving Z_N symmetry of the Lagrangian. At small m
the theory is strongly coupled and resembles the undeformed CP(N-1) model, while at large m it is in a
weakly coupled Higgs phase with spontaneously broken Z_N.We ... Added: May 3, 2024 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 It has been shown that non-Abelian solitonic vortex strings supported in four-dimensional (4D)
N = 2 supersymmetric QCD (SQCD) with the U(2) gauge group and N_f =4 quark flavors behave
as critical superstrings. In addition to four translational moduli, the non-Abelian strings under
consideration carry six orientational and size moduli. Together they form a ten-dimensional space
required for a superstring to ... Added: October 26, 2022 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 It has been shown that non-Abelian vortex string supported in four-dimensional (4D) N =2
supersymmetric QCD (SQCD) with the U(2) gauge group and N_f =4 quark flavors becomes a critical
superstring. This string propagates in the ten-dimensional space formed by a product of the flat 4D space
and an internal space given by a Calabi-Yau noncompact threefold, namely, ... Added: October 26, 2022 First Evidence for cos2β>0 and Resolution of the Cabibbo-Kobayashi-Maskawa Quark-Mixing Unitarity Triangle Ambiguity Aushev T., Mizuk R., Pakhlov P. et al., Physical Review Letters 2018 Vol. 121 No. 26 P. 1–11 We 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(∗)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 ... Added: October 28, 2020 4d N=1 quiver gauge theories and the A_n Bailey lemma Brunner F., Spiridonov V., Journal of High Energy Physics 2018 Vol. 2018 No. 03 P. 1–29 We study the integral Bailey lemma associated with the A_n-root system and
identities for elliptic hypergeometric integrals generated thereby. Interpreting integrals as
superconformal indices of four-dimensional N = 1 quiver gauge theories with the gauge
groups being products of SU(n + 1), we provide evidence for various new dualities. Further
con rmation is achieved by explicitly checking that the ... Added: March 26, 2018 Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants Bershtein M., Bonelli G., Ronzani M. et al., 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 ... Added: March 17, 2017 Search for supersymmetry in electroweak production with photons and large missing transverse energy in pp collisions at sqrt(s) = 8 TeV Khachatryan V., Ratnikov F., 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 ... Added: October 21, 2016 Instantons and 2d Superconformal field theory Bershtein M., Белавин А. А., Белавин В. А., Journal of High Energy Physics 2011 Vol. 9 No. 117 A recently proposed correspondence between 4-dimensional N=2 SUSY SU(k) gauge theories on R^4/Z_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.

The construction is based on the conjectural relation between moduli spaces of SU(2) instantons on R^4/Z_2 and algebras ... Added: October 23, 2014 About About Key Figures & Facts Sustainability at HSE University Faculties & Departments International Partnerships Faculty & Staff HSE Buildings HSE University for Persons with Disabilities Public Enquiries Studies Admissions Programme Catalogue Undergraduate Graduate Exchange Programmes Summer University Summer Schools Semester in Moscow Business Internship Research International Laboratories Research Centres Research Projects Monitoring Studies Conferences & Seminars Academic Jobs Yasin (April) International Academic Conference on Economic and Social Development Media & Resources Publications by staff HSE Journals Publishing House iq.hse.ru: commentary by HSE experts Library Economic & Social Data Archive Video HSE Repository of Socio-Economic Information HSE1993–2026 Contacts Copyright Privacy Policy Site Map Edit 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":false},"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. 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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. 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The application of this approach can reduce industrial equipment repair costs, minimise downtime, and improve production safety. The study results have been published in Engineering Applications of Artificial Intelligence."},{"id":"1162630477","publ_date":"1779720578616","publ_date2":"25.05.2026","title":"'The Humanities Serve as a Conscience'","href":"https:\u002F\u002Fpublications.hse.ru\u002Fen\u002Fnews\u002Fr\u002F1162630477\u002F","annotation":"Maria Mizernaia studies Soviet literature and the history of book publishing. In this interview for the HSE Young Scientists project, she discusses plans to publish a novel about besieged Leningrad, AI-provoked reflections on what it means to be human, and how novels can help satisfy our dopamine hunger."},{"id":"1162584490","publ_date":"1779713485706","publ_date2":"25.05.2026","title":"Is It Possible to Predict a Citys Life Based on the Shape of Its Neighbourhoods?","href":"https:\u002F\u002Fpublications.hse.ru\u002Fen\u002Fnews\u002Fr\u002F1162584490\u002F","annotation":"Is it possible to predict, based on the configuration of streets and buildings, where a café will open or where traffic congestion will occur? Participants in the \u003Ca href=\"https:\u002F\u002Fgeography.hse.ru\u002Fnug\u002F\" title=\"https:\u002F\u002Fgeography.hse.ru\u002Fnug\u002F\"\u003ESpatial Analysis and Modelling of Urban Processes\u003C\u002Fa\u003E research and study group use open data and machine learning to identify universal patterns. Alexander Sheludkov and Eduard Somov discuss the purpose of comparing cities, the need for new forms of urban statistics, and how open data is transforming approaches to urban studies."}],"templateLogo":{"href":"\u002Fen\u002F","title":"publications"},"templatePrimaryMenu":[{"id":0,"href":"\u002Fen\u002Fbooks\u002F","title":"books","cls":"navigation__item pubs-primary_menu__item"},{"id":1,"href":"\u002Fen\u002Farticles\u002F","title":"articles","cls":"navigation__item pubs-primary_menu__item"},{"id":2,"href":"\u002Fen\u002Fchapters\u002F","title":"chapters","cls":"navigation__item pubs-primary_menu__item"},{"id":3,"href":"\u002Fen\u002Fpreprints\u002F","title":"preprints","cls":"navigation__item pubs-primary_menu__item"}],"templateSecondaryMenu":[{"id":0,"href":"https:\u002F\u002Fscientometrics.hse.ru\u002Fen\u002Fpublication\u002F","title":"Report a publication","showItem":true,"cls":"navigation__item pubs-secondary_menu__item"},{"id":1,"href":"https:\u002F\u002Fwww.hse.ru\u002Fen\u002Fscience\u002F","title":"Research at HSE","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-en","path":"\u002Fen\u002Farticles\u002F196420690","hash":"","query":{},"params":{"id":"196420690"},"fullPath":"\u002Fen\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() {
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