{
  "id": "1608.03284",
  "version": "v1",
  "published": "2016-08-10T20:00:59.000Z",
  "updated": "2016-08-10T20:00:59.000Z",
  "title": "A Cardy Formula for Three-Point Coefficients: How the Black Hole Got its Spots",
  "authors": [
    "Per Kraus",
    "Alexander Maloney"
  ],
  "comment": "23 pages, 1 Figure",
  "categories": [
    "hep-th",
    "cond-mat.stat-mech",
    "gr-qc"
  ],
  "abstract": "Modular covariance of torus one-point functions constrains the three point function coefficients of a two dimensional CFT. This leads to an asymptotic formula for the average value of light-heavy-heavy three point coefficients, generalizing Cardy's formula for the high energy density of states. The derivation uses certain asymptotic properties of one-point conformal blocks on the torus. Our asymptotic formula matches a dual AdS_3 computation of one point functions in a black hole background. This is evidence that the BTZ black hole geometry emerges upon course-graining over a suitable family of heavy microstates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-10T20:00:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cardy formula",
      "three-point coefficients",
      "btz black hole geometry emerges",
      "torus one-point functions constrains",
      "asymptotic formula matches"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}