Statistical Entropy and AdS/CFT Correspondence in BTZ Black Holes

Abstract

We study AdS/CFT correspondence in the case of AdS3. We obtain the statistical entropy of the BTZ black hole in terms of the correct central charge and the conformal dimensions for the states corresponding to the BTZ black hole. We point out the difference between our method and the old fashioned approaches based on SL(2,R) Wess-Zumino-Witten model or Liouville theory.

10 pages, revtex, Technical errors corrected, which now enables us to identify all the local terms in the effective action. More up to date than the published version

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