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
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.
|Russian Foundation for Basic Research
|Ministry of Education and Science of the Russian Federation
|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).
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Journal of Experimental and Theoretical Physics Letters, 2019, 109:2, 136–143
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
\by Yu.~Chernyakov, S.~Kharchev, A.~Levin, M.~Olshanetsky, A.~Zotov
\paper Generalized Calogero and Toda models
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\jour JETP Letters
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