{
  "id": "0909.5252",
  "version": "v2",
  "published": "2009-09-29T02:38:52.000Z",
  "updated": "2009-12-30T08:04:20.000Z",
  "title": "Construction of a topological charge on fuzzy S^2 x S^2 via Ginsparg-Wilson relation",
  "authors": [
    "Hajime Aoki",
    "Yoshiko Hirayama",
    "Satoshi Iso"
  ],
  "comment": "30 pages, typo corrected, version published in Phys.Rev.D",
  "journal": "Phys.Rev.D80:125006,2009",
  "doi": "10.1103/PhysRevD.80.125006",
  "categories": [
    "hep-th",
    "hep-lat"
  ],
  "abstract": "We construct a topological charge of gauge field configurations on a fuzzy S^2xS^2 by using a Dirac operator satisfying the Ginsparg-Wilson relation. The topological charge defined on the fuzzy S^2xS^2 can be interpreted as a noncommutative (or matrix) generalization of the 2nd Chern character on S^2xS^2. We further calculate the number of chiral zero modes of the Dirac operator in topologically nontrivial gauge configurations. Generalizations of our formulation to fuzzy (S^2)^k are also discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-30T08:04:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.30.Rd",
      "11.15.Ha",
      "11.10.Nx"
    ],
    "keywords": [
      "topological charge",
      "ginsparg-wilson relation",
      "construction",
      "dirac operator",
      "topologically nontrivial gauge configurations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2009,
      "month": "Dec",
      "volume": 80,
      "number": 12,
      "pages": 125006
    },
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 832478,
      "adsabs": "2009PhRvD..80l5006A"
    }
  }
}