{
  "id": "math-ph/0301018",
  "version": "v3",
  "published": "2003-01-14T13:44:55.000Z",
  "updated": "2003-05-28T09:27:53.000Z",
  "title": "Conformal restriction, highest-weight representations and SLE",
  "authors": [
    "Roland Friedrich",
    "Wendelin Werner"
  ],
  "comment": "To appear in Comm. Math. Phys. These results were anounced in arXiv:math.PR/0209382",
  "doi": "10.1007/s00220-003-0956-8",
  "categories": [
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We show how to relate Schramm-Loewner Evolutions (SLE) to highest-weight representations of infinite dimensional Lie Algebras using the conformal restriction properties studied by Lawler, Schramm and Werner in the paper arXiv:math.PR/0209343. This confirms the prediction from theoretical physics and conformal field theory that two-dimensional critical systems are related to such degenerate representations.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-05-28T09:27:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "highest-weight representations",
      "infinite dimensional lie algebras",
      "conformal restriction properties",
      "relate schramm-loewner evolutions",
      "conformal field theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2003,
      "volume": 243,
      "number": 1,
      "pages": 105
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003CMaPh.243..105F"
    }
  }
}