{
  "id": "1804.08242",
  "version": "v1",
  "published": "2018-04-23T04:31:12.000Z",
  "updated": "2018-04-23T04:31:12.000Z",
  "title": "Simple current extensions of tensor products of vertex operator algebras",
  "authors": [
    "Hiromichi Yamada",
    "Hiroshi Yamauchi"
  ],
  "comment": "31 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We study simple current extensions of tensor products of two vertex operator algebras satisfying certain conditions. We establish the relationship between the fusion rule for the simple current extension and the fusion rule for a tensor factor. In some special case, we construct a chain of simple current extensions. As an example, we obtain a chain of simple current extensions starting from the simple affine vertex operator algebra associated with $\\widehat{sl}_2$ at level a positive integer $k$. The irreducible modules are classified and the fusion rules are determined for those simple current extensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-23T04:31:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B69",
      "17B65"
    ],
    "keywords": [
      "tensor products",
      "fusion rule",
      "simple affine vertex operator algebra",
      "study simple current extensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}