{
  "id": "1909.08682",
  "version": "v1",
  "published": "2019-09-18T20:13:05.000Z",
  "updated": "2019-09-18T20:13:05.000Z",
  "title": "Superintegrable Systems on Moduli Spaces of Flat Connections",
  "authors": [
    "S. Arthamonov",
    "N. Reshetikhin"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-18T20:13:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B63",
      "14H70",
      "17B80"
    ],
    "keywords": [
      "moduli space",
      "flat connections",
      "superintegrable systems",
      "atiyah-bott poisson structure",
      "superintegrable hamiltonian systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}