{
  "id": "1512.01084",
  "version": "v1",
  "published": "2015-12-03T14:16:55.000Z",
  "updated": "2015-12-03T14:16:55.000Z",
  "title": "The integral representation of solutions of KZ equation and a modification by $\\mathcal{K}$ operator insertion",
  "authors": [
    "Reiji Yoshioka"
  ],
  "comment": "15 pages",
  "categories": [
    "hep-th"
  ],
  "abstract": "A root of unity limit of the $q$-deformed Virasoro algebra is considered. The $\\widehat{sl}(2)_k$ current algebra and the integral formulas of the solutions of the KZ equations can be realized by the $q$-deformed boson at the limit and an additional boson. We explicitly construct the integral representation of the four-point blocks with a $\\mathcal{K}$-operator insertion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-03T14:16:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral representation",
      "operator insertion",
      "kz equation",
      "modification",
      "four-point blocks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151201084Y",
      "inspire": 1407983
    }
  }
}