{
  "id": "0706.4262",
  "version": "v3",
  "published": "2007-06-28T16:08:57.000Z",
  "updated": "2011-05-24T07:40:58.000Z",
  "title": "The Heisenberg group and conformal field theory",
  "authors": [
    "Hessel Posthuma"
  ],
  "comment": "45 pages, some parts have been rewritten. Version to appear in Quart. J. Math",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A mathematical construction of the conformal field theory (CFT) associated to a compact torus, also called the \"nonlinear Sigma-model\" or \"lattice-CFT\", is given. Underlying this approach to CFT is a unitary modular functor, the construction of which follows from a \"Quantization commutes with reduction\"- type of theorem for unitary quantizations of the moduli spaces of holomorphic torus-bundles and actions of loop groups. This theorem in turn is a consequence of general constructions in the category of affine symplectic manifolds and their associated generalized Heisenberg groups.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-05-24T07:40:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T40",
      "81R10",
      "14K25"
    ],
    "keywords": [
      "conformal field theory",
      "affine symplectic manifolds",
      "unitary modular functor",
      "compact torus",
      "associated generalized heisenberg groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 756525,
      "adsabs": "2007arXiv0706.4262P"
    }
  }
}