{
  "id": "hep-th/0103206",
  "version": "v3",
  "published": "2001-03-23T18:30:45.000Z",
  "updated": "2001-04-02T21:47:14.000Z",
  "title": "Dirac Operator on the Quantum Sphere",
  "authors": [
    "A. Pinzul",
    "A. Stern"
  ],
  "comment": "13 pages",
  "journal": "Phys.Lett. B512 (2001) 217-224",
  "doi": "10.1016/S0370-2693(01)00670-0",
  "categories": [
    "hep-th",
    "math.QA"
  ],
  "abstract": "We construct a Dirac operator on the quantum sphere $S^2_q$ which is covariant under the action of $SU_q(2)$. It reduces to Watamuras' Dirac operator on the fuzzy sphere when $q\\to 1$. We argue that our Dirac operator may be useful in constructing $SU_q(2)$ invariant field theories on $S^2_q$ following the Connes-Lott approach to noncommutative geometry.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-04-02T21:47:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirac operator",
      "quantum sphere",
      "invariant field theories",
      "connes-lott approach",
      "fuzzy sphere"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 554484
    }
  }
}