{
  "id": "2203.11721",
  "version": "v1",
  "published": "2022-03-22T13:31:44.000Z",
  "updated": "2022-03-22T13:31:44.000Z",
  "title": "Liouville conformal field theory on Riemann surface with boundaries",
  "authors": [
    "Baojun Wu"
  ],
  "comment": "18 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1607.08467 by other authors",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this note, we give a unified rigorous construction for the Liouville conformal field theory on compact Riemann surface with boundaries for $\\gamma\\in (0,2]$ and prove a certain type of Markov property. This note will serve as a reference for a program leading to the conformal bootstrap for Riemann surface with boundaries and several related projects.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-22T13:31:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60D99",
      "81T40",
      "47D08",
      "37K15",
      "81U20",
      "17B68"
    ],
    "keywords": [
      "liouville conformal field theory",
      "boundaries",
      "compact riemann surface",
      "markov property",
      "conformal bootstrap"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}