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Trudy Moskovskogo Matematicheskogo Obshchestva, 2016, Volume 77, Issue 2, Pages 251–306
(Mi mmo587)
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This article is cited in 3 scientific papers (total in 3 papers)
Integrable systems, shuffle algebras, and Bethe equations
B. L. Feigin National Research University Higher School of Economics, Moscow, Russia
Abstract:
We speak about the part of integrable system theory dealing with conformal theory and $ W$-algebras (ordinary and deformed). Some new approaches to finding Bethe equations that describe the spectrum of Hamiltonians of these quantum integrable systems are developed. The derivation of the Bethe equations is based on the technique of shuffle algebras arising in quantum group theory.
Key words and phrases:
integrable system, shuffle algebra, Bethe equations, affine Lie algebra, center at the critical level, Drinfeld–Sokolov reduction, quantum group.
Received: 28.06.2016
Citation:
B. L. Feigin, “Integrable systems, shuffle algebras, and Bethe equations”, Tr. Mosk. Mat. Obs., 77, no. 2, MCCME, M., 2016, 251–306; Trans. Moscow Math. Soc., 77 (2016), 203–246
Linking options:
https://www.mathnet.ru/eng/mmo587 https://www.mathnet.ru/eng/mmo/v77/i2/p251
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Abstract page: | 626 | Full-text PDF : | 273 | References: | 54 |
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