{
  "id": "hep-th/0105283",
  "version": "v6",
  "published": "2001-05-29T07:41:40.000Z",
  "updated": "2002-05-03T12:34:52.000Z",
  "title": "Operator product expansion in SL(2) conformal field theory",
  "authors": [
    "Kazuo Hosomichi",
    "Yuji Satoh"
  ],
  "comment": "10 pages, latex, discussion on primaries added, shortened version to appear in MPL A",
  "journal": "Mod.Phys.Lett. A17 (2002) 683-693",
  "doi": "10.1142/S021773230200703X",
  "categories": [
    "hep-th"
  ],
  "abstract": "In the conformal field theories having affine SL(2) symmetry, we study the operator product expansion (OPE) involving primary fields in highest weight representations. For this purpose, we analyze properties of primary fields with definite SL(2) weights, and calculate their two- and three-point functions. Using these correlators, we show that the correct OPE is obtained when one of the primary fields belongs to the degenerate highest weight representation. We briefly comment on the OPE in the SL(2,R) WZNW model.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2002-05-03T12:34:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "operator product expansion",
      "conformal field theory",
      "degenerate highest weight representation",
      "primary fields belongs",
      "affine sl"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 557415
    }
  }
}