{
  "id": "1307.4424",
  "version": "v1",
  "published": "2013-07-16T20:52:14.000Z",
  "updated": "2013-07-16T20:52:14.000Z",
  "title": "Conformal field theory of dipolar SLE with the Dirichlet boundary condition",
  "authors": [
    "Nam-Gyu Kang",
    "Hee-Joon Tak"
  ],
  "comment": "To appear in Anal. Math. Phys. 36 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.CV",
    "math.MP"
  ],
  "abstract": "We develop a version of dipolar conformal field theory based on the central charge modification of the Gaussian free field with the Dirichlet boundary condition and prove that correlators of certain family of fields in this theory are martingale-observables for dipolar SLE. We prove the restriction property of dipolar SLE(8/3) and Friedrich-Werner's formula in the dipolar case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-16T20:52:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J67",
      "81T40",
      "30C35"
    ],
    "keywords": [
      "dirichlet boundary condition",
      "dipolar sle",
      "dipolar conformal field theory",
      "central charge modification",
      "gaussian free field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s13324-013-0061-x",
      "journal": "Analysis and Mathematical Physics",
      "year": 2013,
      "month": "Dec",
      "volume": 3,
      "number": 4,
      "pages": 333
    },
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1243262,
      "adsabs": "2013AnMP....3..333K"
    }
  }
}