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arxiv: hep-th/0112055 · v2 · submitted 2001-12-07 · ✦ hep-th · cond-mat.stat-mech· gr-qc

Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes

classification ✦ hep-th cond-mat.stat-mechgr-qc
keywords blackholemodesquasi-normalconformalexactfieldperturbations
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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.

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