{
  "id": "1803.05418",
  "version": "v1",
  "published": "2018-03-14T17:35:16.000Z",
  "updated": "2018-03-14T17:35:16.000Z",
  "title": "The DOZZ Formula from the Path Integral",
  "authors": [
    "Antti Kupiainen",
    "Rémi Rhodes",
    "Vincent Vargas"
  ],
  "categories": [
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We present a rigorous proof of the Dorn, Otto, Zamolodchikov, Zamolodchikov formula (the DOZZ formula) for the 3 point structure constants of Liouville Conformal Field Theory (LCFT) starting from a rigorous probabilistic construction of the functional integral defining LCFT given earlier by the authors and David. A crucial ingredient in our argument is a probabilistic derivation of the reflection relation in LCFT based on a refined tail analysis of Gaussian multiplicative chaos measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-14T17:35:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T40",
      "81T08"
    ],
    "keywords": [
      "dozz formula",
      "path integral",
      "liouville conformal field theory",
      "gaussian multiplicative chaos measures",
      "functional integral defining lcft"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}