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Phys. Rev. Lett. 88, 151301 (2002) [4 pages]

Conformal Field Theory Interpretation of Black Hole Quasinormal Modes

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Danny Birmingham1, Ivo Sachs2, and Sergey N. Solodukhin2
1Department of Mathematical Physics, University College Dublin, Belfield, Dublin 4, Ireland
2Theoretische Physik, Ludwig-Maximilians Universität, Theresienstrasse 37, D-80333, München, Germany

Received 17 December 2001; published 27 March 2002

We obtain exact expressions for the quasinormal modes of various spin for the Bañados-Teitelboim-Zanelli black hole. These modes determine the relaxation time of black hole perturbations. Exact agreement is found between the quasinormal 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 anti–de Sitter/conformal field theory correspondence.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.151301
DOI:
10.1103/PhysRevLett.88.151301
PACS:
04.70.Dy, 04.60.Kz, 11.25.Hf