{
  "id": "1506.06861",
  "version": "v1",
  "published": "2015-06-23T05:03:43.000Z",
  "updated": "2015-06-23T05:03:43.000Z",
  "title": "Coupling of Gaussian free field with general slit SLE",
  "authors": [
    "Alexey Tochin",
    "Alexander Vasil'ev"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the coupling between the Gaussian free field and the slit holomorphic stochastic flow, called ($\\delta,\\sigma$)-SLE, which contains known SLE processes (chordal, radial, and dipolar) as particular cases. In physical terms, we study a free boundary conformal field theory with one scalar bosonic field, where Green's function is assumed to have some general regular harmonic part. We establish which of these models allow a coupling with ($\\delta,\\sigma$)-SLE, or equivalently, when the correlation functions induce the local ($\\delta,\\sigma$)-SLE martingales (martingale observables).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-23T05:03:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30C35",
      "34M99",
      "60D05",
      "60G57",
      "60J67"
    ],
    "keywords": [
      "gaussian free field",
      "general slit sle",
      "free boundary conformal field theory",
      "slit holomorphic stochastic flow",
      "general regular harmonic part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150606861T"
    }
  }
}