{
  "id": "1508.03160",
  "version": "v1",
  "published": "2015-08-13T09:44:17.000Z",
  "updated": "2015-08-13T09:44:17.000Z",
  "title": "Slit holomorphic stochastic flows and Gaussian free field",
  "authors": [
    "Georgy Ivanov",
    "Nam-Gyu Kang",
    "Alexander Vasil'ev"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.CV",
    "math.MP"
  ],
  "abstract": "It was realized recently that the chordal, radial and dipolar SLEs are special cases of a general slit holomorphic stochastic flow. We characterize those slit holomorphic stochastic flows which generate level lines of the Gaussian free field. In particular, we describe the modifications of the Gaussian free field (GFF) corresponding to the chordal and dipolar SLE with drifts. Finally, we develop a version of conformal field theory based on the background charge and Dirichlet boundary condition modifications of GFF and present martingale-observables for these types of SLEs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-13T09:44:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30C35",
      "34M99",
      "60D05",
      "60J67"
    ],
    "keywords": [
      "gaussian free field",
      "general slit holomorphic stochastic flow",
      "dipolar sle",
      "dirichlet boundary condition modifications",
      "conformal field theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150803160I"
    }
  }
}