Superintegrable Systems on Moduli Spaces of Flat Connections
Mathematical Physics
2022-02-18 v1 math.MP
Exactly Solvable and Integrable Systems
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 -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.
Cite
@article{arxiv.1909.08682,
title = {Superintegrable Systems on Moduli Spaces of Flat Connections},
author = {S. Arthamonov and N. Reshetikhin},
journal= {arXiv preprint arXiv:1909.08682},
year = {2022}
}