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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2019, Volume 109, Issue 2, Pages 131–138
DOI: https://doi.org/10.1134/S0370274X19020139 (Mi jetpl5807) 		 
SCIENTIFIC SUMMARIES

Generalized Calogero and Toda models

Yu. Chernyakovab, S. Kharchevca, A. Levinad, M. Olshanetskyac, A. Zotovdea

a Alikhanov Institute for Theoretical and Experimental Physics, National Research Center Kurchatov Institute, Moscow, Russia
b Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow region, Russia
c Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia
d National Research University Higher School of Economics, Moscow, Russia
e Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.1134/S0370274X19020139
Abstract: A Calogero–Sutherland system with two types of interacting spin variables has been described using the Hitchin approach and quasicompact structure. Complete integrability has been established by means of the Lax equation specified on a singular curve and the classical $r$-matrix depending on the spectral parameter. Generalized Toda systems have also been considered. Their phase portraits have been described.
Funding agency Grant number
Russian Foundation for Basic Research 18-02-01081_а
18-01-00926_а
18-01-00460_а
Ministry of Education and Science of the Russian Federation 14.641.31.0001
This work was supported in part by the Russian Foundation for Basic Research (project nos. 18-02-01081 (Levin, Olshanetsky, Chernyakov), 18-01-00926 (Zotov), and 18-01-00460 (Kharchev)). The work of Levin was supported by the Laboratory for Mirror Symmetry, National Research University Higher School of Economics (agreement no. 14.641.31.0001 with the Government of the Russian Federation). The work of Zotov was supported by the Ministry of Education and Science of the Russian Federation (Russian Academic Excellence Project 5-100).
Received: 16.11.2018
Revised: 16.11.2018
Accepted: 16.11.2018
English version:
Journal of Experimental and Theoretical Physics Letters, 2019, Volume 109, Issue 2, Pages 136–143
DOI: https://doi.org/10.1134/S0021364019020061
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. Chernyakov, S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Generalized Calogero and Toda models”, Pis'ma v Zh. Èksper. Teoret. Fiz., 109:2 (2019), 131–138; JETP Letters, 109:2 (2019), 136–143
Citation in format AMSBIB
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