{
  "id": "1307.4830",
  "version": "v1",
  "published": "2013-07-18T04:47:30.000Z",
  "updated": "2013-07-18T04:47:30.000Z",
  "title": "$N$-point locality for vertex operators: normal ordered products, operator product expansions, twisted vertex algebras",
  "authors": [
    "Iana I. Anguelova",
    "Ben Cox",
    "Elizabeth Jurisich"
  ],
  "comment": "long version with additional details and proofs",
  "categories": [
    "math-ph",
    "math.MP",
    "math.QA",
    "math.RT"
  ],
  "abstract": "In this paper we study fields satisfying $N$-point locality and their properties. We obtain residue formulae for $N$-point local fields in terms of derivatives of delta functions and Bell polynomials. We introduce the notion of the space of descendants of $N$-point local fields which includes normal ordered products and coefficients of operator product expansions. We show that examples of $N$-point local fields include the vertex operators generating the boson-fermion correspondences of type B, C and D-A. We apply the normal ordered products of these vertex operators to the setting of the representation theory of the double-infinite rank Lie algebras $b_{\\infty}, c_{\\infty}, d_{\\infty}$. Finally, we show that the field theory generated by $N$-point local fields and their descendants has a structure of a twisted vertex algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-18T04:47:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "normal ordered products",
      "operator product expansions",
      "twisted vertex algebra",
      "point local fields",
      "vertex operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1243476,
      "adsabs": "2013arXiv1307.4830A"
    }
  }
}