{
  "id": "1912.09219",
  "version": "v1",
  "published": "2019-12-19T14:29:34.000Z",
  "updated": "2019-12-19T14:29:34.000Z",
  "title": "Liouville Conformal Field Theory on the higher-dimensional sphere",
  "authors": [
    "Baptiste Cerclé"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Providing a rigorous definition to the two-dimensional Liouville Quantum Field Theory as introduced by Polyakov in his 1981 seminal work has been a challenging problem over the past few years. Recent developments in the study of conformal geometry in dimension higher than two has naturally led to a generalisation of Polyakov formalism to a higher-dimensional context. In this document we wish to provide a rigorous construction of Liouville Conformal Field Theory on the even-dimensional sphere, at both the classical and the quantum level; the properties of the objects thus defined are in agreement with the ones expected in the physics literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-19T14:29:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60D05",
      "81T20",
      "81T40"
    ],
    "keywords": [
      "liouville conformal field theory",
      "higher-dimensional sphere",
      "two-dimensional liouville quantum field theory",
      "seminal work"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}