{
  "id": "1807.10559",
  "version": "v1",
  "published": "2018-07-27T12:44:59.000Z",
  "updated": "2018-07-27T12:44:59.000Z",
  "title": "Smoothness of correlation functions in Liouville Conformal Field Theory",
  "authors": [
    "Joona Oikarinen"
  ],
  "comment": "24 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "In this article we prove smoothness of the correlation functions in probabilistic Liouville Conformal Field Theory. Our result is a step towards proving that the correlation functions satisfy the higher Ward identities and the higher BPZ equations, predicted by the Conformal Bootstrap approach to Conformal Field Theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-27T12:44:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "probabilistic liouville conformal field theory",
      "smoothness",
      "correlation functions satisfy",
      "higher bpz equations",
      "conformal bootstrap approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}