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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 205, Number 1, Pages 55–67
DOI: https://doi.org/10.4213/tmf9925 (Mi tmf9925) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Integrable system of generalized relativistic interacting tops

I. A. Sechinab, A. V. Zotova

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Center for Advanced Studies, Skolkovo Institute of Science and Technology, Moscow, Russia
Full-text PDF (476 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf9925
Abstract: We describe a family of integrable $GL(NM)$ models generalizing classical spin Ruijsenaars–Schneider systems (the case $N=1$) on one hand and relativistic integrable tops on the $GL(N)$ Lie group (the case $M=1$) on the other hand. We obtain the described models using the Lax pair with a spectral parameter and derive the equations of motion. To construct the Lax representation, we use the $GL(N)$ $R$-matrix in the fundamental representation of $GL(N)$.
Keywords: elliptic integrable system, spin Ruijsenaars–Schneider model, integrable interacting tops.
Funding agency Grant number
Russian Science Foundation 19-11-00062
This research (including the results in Sec. 2) was performed at the Steklov Mathematical Institute of Russian Academy of Sciences and is supported by a grant from the Russian Science Foundation (Project No. 19-11-00062).
Received: 27.04.2020
Revised: 27.04.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 205, Issue 1, Pages 1291–1302
DOI: https://doi.org/10.1134/S0040577920100049
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. A. Sechin, A. V. Zotov, “Integrable system of generalized relativistic interacting tops”, TMF, 205:1 (2020), 55–67; Theoret. and Math. Phys., 205:1 (2020), 1291–1302
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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