{
  "id": "2003.10002",
  "version": "v1",
  "published": "2020-03-22T21:38:14.000Z",
  "updated": "2020-03-22T21:38:14.000Z",
  "title": "Noncompact $\\mathbf{CP}^N$ as a phase space of superintegrable systems",
  "authors": [
    "Erik Khastyan",
    "Armen Nersessian",
    "Hovhannes Shmavonyan"
  ],
  "comment": "11 pages",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "We propose the description of superintegrable models with dynamical $so(1.2)$ symmetry, and of the generic superintegrable deformations of oscillator and Coulomb systems in terms of higher-dimensional Klein model (the non-compact analog of complex projective space) playing the role of phase space. We present the expressions of the constants of motion of these systems via Killing potentials defining the $su(N.1)$ isometries of the K\\\"ahler structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-22T21:38:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase space",
      "superintegrable systems",
      "noncompact",
      "higher-dimensional klein model",
      "non-compact analog"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}