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Pis'ma v Zh. Èksper. Teoret. Fiz., 2015, Volume 101, Issue 9, Pages 723–729 (Mi jetpl4629)  

SCIENTIFIC SUMMARIES

Classical integrable systems and Knizhnik–Zamolodchikov–Bernard equations

G. Aminovab, A. Levinac, M. Olshanetskyab, A. Zotovdab

a Institute of Theoretical and Experimental Physics, 117218 Moscow, Russia
b Moscow Institute of Physics and Technology (State University), 141700 Dolgoprudny, Russia
c Department of Mathematics, National Research University Higher School of Economics, 101000 Moscow, Russia
d Steklov Mathematical Institute of the RAS, 119991 Moscow, Russia

Abstract: This paper is a short review of results obtained as part of The Russian Foundation for Basic Research project 12-02-00594. We mainly focus on interrelations between classical integrable systems, Painlevé–Schlesinger equations and related algebraic structures such as classical and quantum $R$-matrices. The constructions are explained in terms of simplest examples.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-02-04175
15-51-52031 HHC_a
Dynasty Foundation
Ministry of Education and Science of the Russian Federation 11 11.G34.31.0023
8528
Simons Foundation
Russian Academy of Sciences - Federal Agency for Scientific Organizations
The work was partially supported by RFBR grant 15-02-04175, by joint RFBR grant 15-51-52031 HHC_a (G.A. and A.Z.), and D. Zimin's fund "Dynasty" (G.A. and A.Z.). The work of A.L. was partially supported by AG Laboratory GU-HSE, RF government grant, ag. 11 11.G34.31.0023, and by the Simons Foundation. The work of A.Z. was partially supported by the Program of RAS "Nonlinear Dynamics" and by the Ministry of Education and Science of Russian Federation under the contract 8528.


DOI: https://doi.org/10.7868/S0370274X15090131

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English version:
Journal of Experimental and Theoretical Physics Letters, 2015, 101:9, 648–655

Bibliographic databases:

Document Type: Article
Received: 06.04.2015
Language: English

Citation: G. Aminov, A. Levin, M. Olshanetsky, A. Zotov, “Classical integrable systems and Knizhnik–Zamolodchikov–Bernard equations”, Pis'ma v Zh. Èksper. Teoret. Fiz., 101:9 (2015), 723–729; JETP Letters, 101:9 (2015), 648–655

Citation in format AMSBIB
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\paper Classical integrable systems and Knizhnik--Zamolodchikov--Bernard equations
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
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\pages 723--729
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