Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes

Abstract

We obtain exact expressions for the quasi-normal modes of various spin for the BTZ black hole. These modes determine the relaxation time of black hole perturbations. Exact agreement is found between the quasi-normal frequencies and the location of the poles of the retarded correlation function of the corresponding perturbations in the dual conformal field theory. This then provides a new quantitative test of the AdS/CFT correspondence.

4 pages, RevTeX, references added

References in corpus (4)

• Scalar, electromagnetic and Weyl perturbations of BTZ black holes: quasi normal modes
• Quasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations
• Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence
• Scalar wave propagation in topological black hole backgrounds

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