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Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes

Danny Birmingham·Ivo Sachs·Sergey N. Solodukhin
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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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Danny Birmingham, Ivo Sachs, Sergey N. Solodukhin. 2002-02-15. Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes. https://doi.org/10.1103/physrevlett.88.151301

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