{
  "id": "0707.3769",
  "version": "v1",
  "published": "2007-07-25T15:32:14.000Z",
  "updated": "2007-07-25T15:32:14.000Z",
  "title": "Superintegrability on sl(2)-coalgebra spaces",
  "authors": [
    "Angel Ballesteros",
    "Francisco J. Herranz",
    "Orlando Ragnisco"
  ],
  "comment": "12 pages. Based on the contribution presented at the \"XII International Conference on Symmetry Methods in Physics\", Yerevan (Armenia), July 2006. To appear in Physics of Atomic Nuclei",
  "journal": "Phys.Atom.Nucl.71:812-818,2008",
  "doi": "10.1134/S1063778808050074",
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We review a recently introduced set of N-dimensional quasi-maximally superintegrable Hamiltonian systems describing geodesic motions, that can be used to generate \"dynamically\" a large family of curved spaces. From an algebraic viewpoint, such spaces are obtained through kinetic energy Hamiltonians defined on either the sl(2) Poisson coalgebra or a quantum deformation of it. Certain potentials on these spaces and endowed with the same underlying coalgebra symmetry have been also introduced in such a way that the superintegrability properties of the full system are preserved. Several new N=2 examples of this construction are explicitly given, and specific Hamiltonians leading to spaces of non-constant curvature are emphasized.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-25T15:32:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.40.Ky",
      "02.30.Ik"
    ],
    "keywords": [
      "superintegrability",
      "hamiltonian systems describing geodesic motions",
      "superintegrable hamiltonian systems describing geodesic",
      "n-dimensional quasi-maximally superintegrable hamiltonian systems",
      "kinetic energy hamiltonians"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "publication": {
      "journal": "Physics of Atomic Nuclei",
      "year": 2008,
      "month": "May",
      "volume": 71,
      "number": 5,
      "pages": 812
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 757775,
      "adsabs": "2008PAN....71..812B"
    }
  }
}