{
  "id": "math-ph/0508015",
  "version": "v2",
  "published": "2005-08-08T10:44:02.000Z",
  "updated": "2005-12-05T19:04:23.000Z",
  "title": "Nonmeromorphic operator product expansion and C_2-cofiniteness for a family of W-algebras",
  "authors": [
    "Nils Carqueville",
    "Michael Flohr"
  ],
  "comment": "21 pages, to appear in J. Phys. A: Math. Gen.; the exposition is improved and one reference is added",
  "journal": "J.Phys. A39 (2006) 951-966",
  "doi": "10.1088/0305-4470/39/4/015",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.QA"
  ],
  "abstract": "We prove the existence and associativity of the nonmeromorphic operator product expansion for an infinite family of vertex operator algebras, the triplet W-algebras, using results from P(z)-tensor product theory. While doing this, we also show that all these vertex operator algebras are C_2-cofinite.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-12-05T19:04:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B69",
      "81R10",
      "81T40",
      "03.65.Fd",
      "11.25.Hf"
    ],
    "keywords": [
      "nonmeromorphic operator product expansion",
      "vertex operator algebras",
      "triplet w-algebras",
      "product theory",
      "associativity"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2006,
      "month": "Jan",
      "volume": 39,
      "number": 4,
      "pages": 951
    },
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 689442,
      "adsabs": "2006JPhA...39..951C"
    }
  }
}