{
  "id": "1912.00973",
  "version": "v1",
  "published": "2019-12-02T18:04:43.000Z",
  "updated": "2019-12-02T18:04:43.000Z",
  "title": "Exact Correlation Functions in the Brownian Loop Soup",
  "authors": [
    "Federico Camia",
    "Valentino F. Foit",
    "Alberto Gandolfi",
    "Matthew Kleban"
  ],
  "comment": "28 pages, 2 figures",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "hep-th",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We compute analytically and in closed form the four-point correlation function in the plane, and the two-point correlation function in the upper half-plane, of layering vertex operators in the two dimensional conformally invariant system known as the Brownian Loop Soup. These correlation functions depend on multiple continuous parameters: the insertion points of the operators, the intensity of the soup, and the charges of the operators. In the case of the four-point function there is non-trivial dependence on five continuous parameters: the cross-ratio, the intensity, and three real charges. The four-point function is crossing symmetric. We analyze its conformal block expansion and discover a previously unknown set of new conformal primary operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-02T18:04:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brownian loop soup",
      "exact correlation functions",
      "four-point function",
      "two-point correlation function",
      "conformal block expansion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}