{
  "id": "hep-th/0106269",
  "version": "v3",
  "published": "2001-06-28T13:46:03.000Z",
  "updated": "2001-08-31T10:27:03.000Z",
  "title": "Topological Z_{N+1} Charges on Fuzzy Sphere",
  "authors": [
    "Chuan-Tsung Chan",
    "Chiang-Mei Chen",
    "Hyun Seok Yang"
  ],
  "comment": "22 pages, LaTeX. v3: Minor revision for clarification. Reference added",
  "categories": [
    "hep-th"
  ],
  "abstract": "We study the topological properties of fuzzy sphere. We show that the topological charge is only defined modulo N+1, that is finite integer quotient Z_{N+1}, where N is a cut-off spin of fuzzy sphere. This periodic structure on topological charges is shown based on the boson realizations of SU(2) algebra, Schwinger vs. Holstein-Primakoff. We argue that this result can have a natural K-theory interpretation and the topological charges on fuzzy sphere can be classified by the twisted K-theory. We also outline how solitons on fuzzy sphere can realize D-brane solitons in the presence of Neveu-Schwarz fivebranes proposed by Harvey and Moore.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-08-31T10:27:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fuzzy sphere",
      "topological charge",
      "finite integer quotient",
      "natural k-theory interpretation",
      "cut-off spin"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 559307,
      "adsabs": "2001hep.th....6269C"
    }
  }
}