## Abstract

We construct a family of vector fields that generate local symmetries in the solution space of low frequency massless field perturbations in the general Kerr geometry. This yields a one-parameter family of SL(2,R) ?SL(2,R) algebras.We identify limits in which the SL(2,R)SL(2,R) algebra contracts to an SL(2,R) symmetry of the Schwarzschild background. We note that for a particular value of the free parameter, the symmetry algebra generates the quasinormal mode spectrum of a Kerr black hole in the large damping limit, suggesting a connection between the hidden conformal symmetry and a fundamental conformal field theory underlying the quantum Kerr black hole.

Original language | English (US) |
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Article number | 475401 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 45 |

Issue number | 47 |

DOIs | |

State | Published - Nov 30 2012 |

Externally published | Yes |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- General Physics and Astronomy