{
  "id": "1306.6705",
  "version": "v1",
  "published": "2013-06-28T03:09:40.000Z",
  "updated": "2013-06-28T03:09:40.000Z",
  "title": "Conformal field theory of dipolar SLE(4) with mixed boundary condition",
  "authors": [
    "Nam-Gyu Kang"
  ],
  "comment": "18pages. To appear in J. Korean Math. Soc",
  "categories": [
    "math.PR",
    "math-ph",
    "math.CV",
    "math.MP"
  ],
  "abstract": "We develop a version of dipolar conformal field theory in a simply connected domain with the Dirichlet-Neumann boundary condition and central charge one. We prove that all correlation functions of the fields in the OPE family of Gaussian free field with a certain boundary value are martingale-observables for dipolar SLE(4).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-28T03:09:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J67",
      "81T40",
      "30C35"
    ],
    "keywords": [
      "mixed boundary condition",
      "dipolar sle",
      "dipolar conformal field theory",
      "dirichlet-neumann boundary condition",
      "gaussian free field"
    ],
    "publication": {
      "doi": "10.4134/JKMS.2013.50.4.899"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1240594,
      "adsabs": "2013arXiv1306.6705K"
    }
  }
}