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      Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes

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          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.

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          Most cited references17

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          Handbook of Mathematical Functions

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            Operator content of two-dimensional conformally invariant theories

            John Cardy (1986)
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              Large N Field Theories, String Theory and Gravity

              We review the holographic correspondence between field theories and string/M theory, focusing on the relation between compactifications of string/M theory on Anti-de Sitter spaces and conformal field theories. We review the background for this correspondence and discuss its motivations and the evidence for its correctness. We describe the main results that have been derived from the correspondence in the regime that the field theory is approximated by classical or semiclassical gravity. We focus on the case of the N=4 supersymmetric gauge theory in four dimensions, but we discuss also field theories in other dimensions, conformal and non-conformal, with or without supersymmetry, and in particular the relation to QCD. We also discuss some implications for black hole physics.
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                Author and article information

                Journal
                07 December 2001
                2002-02-15
                Article
                10.1103/PhysRevLett.88.151301
                hep-th/0112055
                2c0379f6-239d-4cd9-aa25-132593a5dfbe
                History
                Custom metadata
                Phys.Rev.Lett. 88 (2002) 151301
                4 pages, RevTeX, references added
                hep-th cond-mat.stat-mech gr-qc

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