Surveys in Differential Geometry

Volume 26 (2021)

Periodic and open classical spin Calogero–Moser chains

Pages: 263 – 297

DOI: https://dx.doi.org/10.4310/SDG.2021.v26.n1.a8

Author

Nicolai Reshetikhin (YMSC, Tsinghua University, Beijing, China; BIMSA, Beijing, China; Department of Mathematics, University of California, Berkeley, U.S.A.; and St. Petersburg University, St. Petersburg, Russia)

Abstract

We construct classical Hamiltonian system similar to spin Calogero–Moser type systems. They can be regarded as a many particle system with composite spin degrees of freedom and also as an integrable spin chain of Gaudin type. We prove that these Hamiltonian systems are superintegrable.

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Published 22 January 2024