Email this article Calogero–Sutherland system with two types interacting spins
- Authors: Kharchev S.1,2, Levin A.1,3, Olshanetsky M.1,2, Zotov A.1,4
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Affiliations:
- Institute for Theoretical and Experimental Physics
- Institute for Information Transmission Problems (Kharkevich Institute)
- International Laboratory for Mirror Symmetry and Automorphic Forms, Faculty of Mathematics
- Steklov Mathematical Institute
- Issue: Vol 106, No 3 (2017)
- Pages: 179-183
- Section: Methods of Theoretical Physics
- URL: https://ogarev-online.ru/0021-3640/article/view/160335
- DOI: https://doi.org/10.1134/S0021364017150024
- ID: 160335
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Abstract
We consider the classical Calogero–Sutherland system with two types of interacting spin variables. It can be reduced to the standard Calogero–Sutherland system, when one of the spin variables vanishes. We describe the model in the Hitchin approach and prove complete integrability of the system by constructing the Lax pair and the classical r-matrix with the spectral parameter on a singular curve.
About the authors
S. Kharchev
Institute for Theoretical and Experimental Physics; Institute for Information Transmission Problems (Kharkevich Institute)
Author for correspondence.
Email: kharchev@itep.ru
Russian Federation, Moscow, 117218; Moscow, 127994
A. Levin
Institute for Theoretical and Experimental Physics; International Laboratory for Mirror Symmetry and Automorphic Forms, Faculty of Mathematics
Email: kharchev@itep.ru
Russian Federation, Moscow, 117218; Moscow, 119048
M. Olshanetsky
Institute for Theoretical and Experimental Physics; Institute for Information Transmission Problems (Kharkevich Institute)
Email: kharchev@itep.ru
Russian Federation, Moscow, 117218; Moscow, 127994
A. Zotov
Institute for Theoretical and Experimental Physics; Steklov Mathematical Institute
Email: kharchev@itep.ru
Russian Federation, Moscow, 117218; Moscow, 119991
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