S. Arthamonov, N. Reshetikhin
Published 2019-09-18Version 1
The main result of this paper is the construction of a family of superintegrable Hamiltonian systems on moduli spaces of flat connections on a principle $G$-bundle on a surface. The moduli space is a Poisson variety with Atiyah-Bott Poisson structure. Among particular cases of such systems are spin generalizations of Ruijsenaars-Schneider models.
Factorization approach to superintegrable systems: Formalism and applications
Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability
Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras
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