• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Articles
  • Integrable structure of BCD conformal field theory and boundary Bethe ansatz for affine Yangian
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 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
  • More
Subject
News
June 25, 2026
HSE Researchers Make Aldehydes Perform Dual Function
Chemists from HSE University have discovered a way to carry out a reductive addition reaction without using an external reducing agent. Instead, the required 'resource' is supplied by the aldehyde itself, one of the reaction participants. This approach helps prevent unwanted side reactions, reduces toxicity, and simplifies the production and synthesis of organic molecules, including those used in the manufacture of medicines. The study has been published in Journal of Catalysis.
June 25, 2026
HSE Scientists Explain Why Findings in Autism Research Differ
Researchers from the Cognitive Health and Intelligence Centre at HSE University conducted the first-ever systematic review of studies on the specifics of emotion-from-motion perception in autism. The review showed that differences found between autistic and non-autistic individuals are largely associated with the experimental design and the types of tasks given to study participants. The review findings have been published in Research in Autism.
June 22, 2026
‘In Science, You Are Your Own Boss
Polina Nasledskova is interested in identifying gaps in linguistics and topics that have been overlooked by other researchers. In an interview for the  Young Scientists of HSE University project, she spoke about rare ordinal numerals in Nakh-Daghestanian languages, the benefits of knitting for concentration, and the beauty of the Patriarshy Bridge.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

Integrable structure of BCD conformal field theory and boundary Bethe ansatz for affine Yangian

Journal of High Energy Physics. 2021. No. 8. Article 141.
Vilkoviskiy Ilya, Litvinov A.

In these notes we study integrable structures of conformal field theory with BCD symmetry. We realise these integrable structures as glgl(1) affine Yangian “spin chains” with boundaries. We provide three solutions of Sklyanin KRKR equation compatible with the affine Yangian R-matrix and derive Bethe ansatz equations for the spectrum. Our analysis provides a unified approach to the integrable structures with BCD symmetry including superalgebras.

Research target: Mathematics
Language: English
DOI
Text on another site
Keywords: representationsquiver varietiesBethe AnsatzConformal and W SymmetryQ-OPERATORSKDV
Publication based on the results of:
Representation theory of vertex algebras and shuffle algebras in Geometry and Topology of moduli spaces, in Combinatorics, and in Mathematical Physics (2021)
Similar publications
Generalized Hurst Hypothesis: Description of Time-Series in Communication Systems
Ivchenko A., Nigmatullin R. R., Dorokhin S. V., Mathematics 2026 Vol. 9 No. 4 Article 381
n this paper, we focus on the generalization of the Hurst empirical law and suggest a set of reduced parameters for quantitative description of long-time series. These series are usually considered as a specific response of a complex system (economic, geophysical, electromagnetic and other systems), where successive fixations of external factors become impossible. We consider ...
Added: June 27, 2026
Indicators of cosmonaut locomotor functions stability: A new method for ground-reaction forces analysis
Ivchenko A., Шестопёров А. И., Фомина Е. В., Microgravity Science and Technology 2025 Vol. 37 No. 19 P. 1–19
The paper is dedicated to the analysis of medico-biological data obtained during locomotor testing of astronauts. Accurate data interpretation plays a crucial role in locomotion system monitoring, prophylaxis of long-duration spaceflight negative effects and thus in the development of an autonomous medical support system for deep space expeditions. During the locomotor testing the astronaut changes ...
Added: June 26, 2026
Платформа, управляемая событиями, для интеграции компонентов машинного зрения с операционным центром.
Gadzhimirzaev S., Хельвас А. В., 2023 3rd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET) Mohammedia, Morocco 2023 P. 1–6
The article proposes the architecture for eventdriven Emergency Operation Center with Machine Vision Component. Sources of information are analyzed and approaches to machine vision events for tactical situations detection and estimation are discussed. Messages from Machine Vision Components are converted to Common Alerting Protocol and processed by Operation Center environment for tactical situations recognition. ...
Added: June 26, 2026
Подход к оценке динамики уровня консолидированности отрасли
Gadzhimirzaev S., Хельвас А. В., Лукьянченко П. П., Computer Research and Modeling 2023 Vol. 15 No. 1 P. 129–140
In this article we propose a new approach to the analysis of econometric industry parameters for the industry consolidation level. The research is based on the simple industry automatic control model. The state of the industry is measured by quarterly obtained econometric parameters from each industry’s company provided by the tax control regulator. An approach ...
Added: June 26, 2026
Цифровой двойник полностью автоматизированного склада с глубокими стеллажами
Gadzhimirzaev S., Хельвас А. В., International Frequency Sensor Association (IFSA) Publishing, 19-21 February 2025 Granada, Spain 2025 P. 172–176
The paper presents models for an innovative fully robotic warehouse for storing boxed goods. A discrete multiagent simulation of the movement of shuttles in a warehouse for a given sequence of pallet shipments has been implemented. Different strategies for placement of boxes in various areas of a warehouse are evaluated, as well as optimal routing ...
Added: June 26, 2026
On Projective Threefolds with Two-Dimensional Space of Vanishing Cycles
Fedorov Timofey, Moscow Mathematical Journal 2026 Vol. 26 No. 1 P. 73–85
We obtain a complete list of smooth projective threefolds over C for which the dimension of the space of vanishing cycles (in H2(Y,Q) of the smooth hyperplane section Y) equals 2. We also obtain a complete list of rank 2 very ample vector bundles E on smooth projective surfaces with c2(E)=3. ...
Added: June 25, 2026
Современные методы теории краевых задач. Понтрягинские чтения XXXVII.
Воронеж: Издательский дом ВГУ, 2026.
В сборнике представлены материалы докладов и лекций, включенных в программу весенней математической школы. ...
Added: June 25, 2026
Воронежская зимняя матаматическая школа С. Г. Крейна - 2026.
Воронеж: Издательский дом ВГУ, 2026.
В сборнике представлены материалы докладов и лекций,  включенных в программу Воронежской зимней матаматической школы С. Г. Крейна - 2026. ...
Added: June 25, 2026
Моделирование полностью роботизированного склада со стеллажами глубокого хранения
Gadzhimirzaev S., Хельвас А. В., Computer Research and Modeling 2026 Vol. 18 No. 2 P. 423–438
This article presents a model of a fully automated warehouse with deep storage racks designed for boxed goods storage. The study focuses on optimizing warehouse operations through discrete multiagent simulation of shuttle movements for pallet loading and unloading tasks. The authors investigate various product placement strategies, including the Nearest Channel Positioning Algorithm (NCPA), Most Empty ChannelGroup Placement (MECGP), and ...
Added: June 24, 2026
Нахождение формальных степенно–логарифмических разложений решений 𝑞–разностных уравнений
Gaianov N., Parusnikova A., Уфимский математический журнал 2026 Т. 18 № 2 С. 14–22
We consider an algebraic 𝑞–difference equation. We propose a sufficient condition for the existence of a formal power–logarithmic expansion in the vicinity of zero of the solution to such an equation. We apply this sufficient condition to construct the formal expansion of a solution to a certain 𝑞–difference analogue of the fifth Painlevé equation for particular ...
Added: June 24, 2026
Open r-spin theory II: The analogue of Witten's conjecture for r-spin disks
Buryak A., Clader E., Tessler R., Journal of Differential Geometry 2024 Vol. 128 No. 1 P. 1–75
We conclude the construction of $r$-spin theory in genus zero for Riemann surfaces with boundary. In particular, we define open $r$-spin intersection numbers, and we prove that their generating function is closely related to the wave function of the $r$th Gelfand--Dickey integrable hierarchy. This provides an analogue of Witten's $r$-spin conjecture in the open setting ...
Added: June 23, 2026
Tautological relations and integrable systems
Buryak A., Shadrin S., Epijournal de Geometrie Algebrique 2024 Vol. 8
We present a family of conjectural relations in the tautological cohomology of the moduli spaces of stable algebraic curves of genus g with n marked points. A large part of these relations has a surprisingly simple form: the tautological classes involved in the relations are given by stable graphs that are trees and that are decorated only by powers ...
Added: June 23, 2026
Scattering in the dual regime of Yang-Baxter deformed O(2N) sigma models
Bychkov A., Nekrasov B., Physical Review D - Particles, Fields, Gravitation and Cosmology 2026 Vol. 113 No. 6 Article 066007
We continue to explore the previously suggested dual regime of Yang-Baxter (YB) deformed $\OO(2N)$ sigma models, which is a new one-parametric deformation of the $\OO(2N)$ model. It can be obtained from the conventional YB deformed $\OO(2N+2)$ sigma model by freezing two isometries. The scattering matrix in the non-deformed $\OO(n)$ model is known coincide with the ...
Added: October 14, 2025
Where Have All the People Gone? A Multimodal Critical Discourse Study of the Representation Of People in Promotional Tourism Discourse
Ignatova E., Tourism Culture & Communication 2020 Vol. 20 No. 2-3 P. 129–139
This article critically analyzes how tourists and hosts are represented verbally and visually in a travel brochure about Russia and what power relations might such representation shape. The interaction between hosts and tourists, one of the essential aspects of tourism, provides an opportunity to get acquainted with the sociocultural context of other nations, thus improving ...
Added: February 7, 2025
Analysing Representation: A Corpus and Discourse Textbook
Routledge, 2024.
Analysing Representation: A Corpus and Discourse Textbook guides readers through the process of researching how people and phenomena are represented in discourse and introduces them to key tools they can use from corpus linguistics and (critical) discourse analysis. This book takes a step-by-step approach to introducing each concept and includes exercises and further reading to help ...
Added: February 7, 2025
Representations of short SL2-structures
Stasenko R., Algebra i Analiz 2024 No. 36:6 P. 129–162
Added: January 23, 2025
Depression representations on the most popular Russian-language YouTube channels
Mikhaylova O., Convergence-The International Journal of Research into New Media Technologies 2023 Vol. 29 No. 6 P. 1555–1572
This article analyses the mental health discourse on the most popular Russian-language channels on YouTube. The main research focus is depression representations. In total 345 videos were examined, issued since 2015 and till 2022. Using theoretical thematic analysis, the content creator types are identified, and these types are compared in terms of their portrayals of ...
Added: February 14, 2023
Dualities in quantum integrable many-body systems and integrable probabilities. Part I.
Gorsky A., Vasilyev M., Zotov A., Journal of High Energy Physics 2022 Vol. 2022 No. 04 Article 159
In this study we map the dualities observed in the framework of integrable probabilities into the dualities familiar in a realm of integrable many-body systems. The dualities between the pairs of stochastic processes involve one representative from Macdonald-Schur family, while the second representative is from stochastic higher spin six-vertex model of TASEP family. We argue ...
Added: April 28, 2022
Self-representations of the experience of anorexia on YouTube: The joint influence of the explanatory model and the web platform
Mikhaylova O., New Media and Society 2024 Vol. 26 No. 6 P. 3235–3251
This study analyzes the self-representations of Russian-speaking women with anorexia on YouTube. Using multimodal interaction analysis, the research focuses on how the explanatory model of anorexia and the representation platform influence the narratives produced by vloggers who have experienced or are experiencing anorexia. It is concluded that anorexia is mainly represented in these videos as ...
Added: April 21, 2022
Как связаны личностные ценности старшеклассников с компонентами системы принятия решений о наличии коррупционного риска в ситуации?
Погожина И. Н., Sergeeva M., Мир психологии. Научно-методический журнал 2021 № 4 С. 131–152
Изучалась специфика связей между личностными ценностями старшеклассников и компонентами системы принятия решений о наличии коррупционного риска в ситуации: представлениями о коррупции и познавательными умениями в составе способности определять коррупцию как явление (при анализе кейсов). На выборке десятиклассников московских школ установлено, что сильная ориентация на достижения сопряжена с низким уровнем осведомленности о коррупции и слабо развитым ...
Added: March 21, 2022
Когнитивный компонент в структуре правосознания студентов при анализе кейсов об экономических правонарушениях
Погожина И. Н., Sergeeva M., Российский психологический журнал 2021 Т. 18 № 2 С. 122–137
Introduction. The cognitive component in the structure of students’ legal consciousness still remains an understudied area. It is unclear how students use the content of representations of economic offences in the analysis of potentially unlawful situations. This study aims to identify and examine the content of cognitive component elements in the structure of students’ legal ...
Added: March 21, 2022
В чем различие между философскими идеями и понятиями?
Kocherov S., Вестник Мининского университета 2021 Т. 9 № 4 Статья 15
Introduction. The paper attempts to clarify the relation between ideas and concepts in philosophy seen as science and worldview. The author analyzes these forms of philosophical thought and reveals their epistemological similarities, as well as their essential and notional differences. Materials and Methods. The paper draws upon monographs and papers by Russian and foreign scholars focusing ...
Added: November 27, 2021
Proceedings of the 3rd Workshop on Evaluating Vector Space Representations for NLP 2019
Association for Computational Linguistics, 2019.
The RepEval series of workshops started in the midst of a boom of word embeddings with the goals of promoting new benchmarks for vector space meaning representations, highlighting the issues with existing benchmarks and improving on them. In addition to proposals for new evaluation tasks, it has played an important role by providing an outlet ...
Added: April 7, 2021
Extensions of vertex algebras. Constructions and applications
Feigin B. L., Russian Mathematical Surveys 2017 Vol. 72 No. 4 P. 707–763
This paper discusses the main known constructions of vertex operator algebras. The starting point is the lattice algebra. Screenings distinguish subalgebras of lattice algebras. Moreover, one can construct extensions of vertex algebras. Combining these constructions gives most of the known examples. A large class of algebras with big centres is constructed. Such algebras have applications ...
Added: November 5, 2020
  • 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