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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.
Received: 06.04.2015
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
Linking options:
https://www.mathnet.ru/eng/jetpl4629 https://www.mathnet.ru/eng/jetpl/v101/i9/p723
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