{
  "id": "1101.1024",
  "version": "v3",
  "published": "2011-01-05T16:51:30.000Z",
  "updated": "2013-06-19T20:57:35.000Z",
  "title": "Gaussian free field and conformal field theory",
  "authors": [
    "Nam-Gyu Kang",
    "Nikolai Makarov"
  ],
  "comment": "122 pages, 5 figures. To appear in Ast\\'erisque",
  "categories": [
    "math.PR",
    "math-ph",
    "math.CV",
    "math.MP"
  ],
  "abstract": "In these mostly expository lectures, we give an elementary introduction to conformal field theory in the context of probability theory and complex analysis. We consider statistical fields, and define Ward functionals in terms of their Lie derivatives. Based on this approach, we explain some equations of conformal field theory and outline their relation to SLE theory.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-06-19T20:57:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J67",
      "81T40",
      "30C35"
    ],
    "keywords": [
      "conformal field theory",
      "gaussian free field",
      "lie derivatives",
      "expository lectures",
      "define ward functionals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 122,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 883656,
      "adsabs": "2011arXiv1101.1024K"
    }
  }
}