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Periodic and open classical spin Calogero-Moser chains

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arxiv 2302.14281 v1 pith:HX5Q5BO2 submitted 2023-02-28 math-ph math.MPmath.SGnlin.SI

Nicolai Reshetikhin This is my paper · ORCID
classification math-phmath.MPmath.SGnlin.SI
keywords spincalogero-mosersystemstypechainchainsclassclassical
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We construct a class of interacting spin Calogero-Moser type systems. They can be regarded as a many particle system with spin degrees of freedom and as an integrable spin chain of Gaudin type. We prove that these Hamiltonian systems are superintegrable.

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  1. Integrable systems from Poisson reductions of generalized Hamiltonian torus actions

    math-ph 2025-07 unverdicted novelty 7.0 of 10

    Develops sufficient conditions for Poisson reduction of generalized Hamiltonian torus actions to preserve integrability and applies them to open problems on Lie group doubles and flat-connection moduli spaces.

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