{
  "id": "hep-th/0306069",
  "version": "v1",
  "published": "2003-06-09T14:17:50.000Z",
  "updated": "2003-06-09T14:17:50.000Z",
  "title": "Entropy of the 3-brane and the AdS/CFT duality from a two-dimensional perspective",
  "authors": [
    "M. Cadoni"
  ],
  "comment": "10 pages, RevTex file",
  "journal": "Class.Quant.Grav. 21 (2004) 251-264",
  "doi": "10.1088/0264-9381/21/1/017",
  "categories": [
    "hep-th"
  ],
  "abstract": "A two-dimensional (2D) scalar-tensor gravity theory is used to describe the near-horizon near-extremal behavior of black 3-branes solutions of type IIB string theory. The asymptotic symmetry group of the 2D, asymptotically anti de Sitter (AdS) metric, is generated by a Virasoro algebra. The (non-constant) configuration of the 2D scalar field, which parametrizes the volume of the 3-brane, breaks the conformal symmetry and produces a divergent central charge in the Virasoro algebra. Using a renormalization procedure we find a finite value for the central charge and by means of the Cardy formula, the entropy of the black 3-brane in terms of microstates of the conformal field theory living on the boundary of the 2D spacetime. We find for the entropy as a function of the temperature the power-law behavior $S\\propto T^3$. Unfortunately, owing to a scale symmetry of the 2D model the proportionality constant is undetermined. The black 3-brane case is a nice example of how finite temperature effects in higher dimensional AdS/CFT dualities can be described by a AdS$_2$/CFT$_1$ duality endowed with a scalar field that breaks the conformal symmetry and produces a non-vanishing central charge.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-06-09T14:17:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ads/cft duality",
      "two-dimensional perspective",
      "central charge",
      "higher dimensional ads/cft dualities",
      "virasoro algebra"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP",
      "journal": "Class. Quantum Grav."
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 620660
    }
  }
}