Superintegrable Systems on Moduli Spaces of Flat Connections (1909.08682v1)

Published 18 Sep 2019 in math-ph, math.MP, and nlin.SI

Abstract: 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.

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