Three-dimensional black hole entropy

Abstract

We discuss in detail the properties of gravity with a negative cosmological constant as viewed in Cherns-Simons theory on a line times a disc. We reanalyze the problem of computing the BTZ entropy, and show how the demand of unitarity and modular invariance of the boundary conformal field theory severely constrain proposals in this framework.

arXiv comment20 pages, 2 figures; v2: error corrected, conclusions changed

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Cited by in corpus (9)

• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Geometric actions for three-dimensional gravity
• The Holographic Ward identity: Examples from 2+1 gravity
• Fate of Three-Dimensional Black Holes Coupled to a Scalar Field and the Bekenstein-Hawking Entropy
• CFT description of three-dimensional Hawking-Page transition
• Models for Modules
• Path Integrals on sl(2,R) Orbits
• Towards black hole scattering
• Open strings in Lie groups and associative products