{
  "id": "1702.06514",
  "version": "v1",
  "published": "2017-02-21T18:32:52.000Z",
  "updated": "2017-02-21T18:32:52.000Z",
  "title": "The action-angle dual of an integrable Hamiltonian system of Ruijsenaars--Schneider--van Diejen type",
  "authors": [
    "L. Feher",
    "I. Marshall"
  ],
  "comment": "21 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Integrable deformations of the hyperbolic and trigonometric ${\\mathrm{BC}}_n$ Sutherland models were recently derived via Hamiltonian reduction of certain free systems on the Heisenberg doubles of ${\\mathrm{SU}}(n,n)$ and ${\\mathrm{SU}}(2n)$, respectively. As a step towards constructing action-angle variables for these models, we here apply the same reduction to a different free system on the double of ${\\mathrm{SU}}(2n)$ and thereby obtain a novel integrable many-body model of Ruijsenaars--Schneider--van Diejen type that is in action-angle duality with the respective deformed Sutherland model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-21T18:32:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ruijsenaars-schneider-van diejen type",
      "integrable hamiltonian system",
      "action-angle dual",
      "sutherland model",
      "free system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}