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Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes

High Energy Physics - Theory 2009-11-07 v2 Statistical Mechanics General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.hep-th/0112055,
  title  = {Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes},
  author = {Danny Birmingham and Ivo Sachs and Sergey N. Solodukhin},
  journal= {arXiv preprint arXiv:hep-th/0112055},
  year   = {2009}
}

Comments

4 pages, RevTeX, references added