Black hole superradiance from Kerr/CFT

  • Irene Bredberg
  • Thomas Hartman
  • Wei Song
  • Andrew Strominger
Article

Abstract

The superradiant scattering of a scalar field with frequency and angular momentum (ω, m) by a near-extreme Kerr black hole with mass and spin (M, J) was derived in the seventies by Starobinsky, Churilov, Press and Teukolsky. In this paper we show that for frequencies scaled to the superradiant bound the full functional dependence on (ω, m, M, J) of the scattering amplitudes is precisely reproduced by a dual two-dimensional conformal field theory in which the black hole corresponds to a specific thermal state and the scalar field to a specific operator. This striking agreement corroborates a conjectured Kerr/CFT correspondence.

Keywords

Black Holes AdS-CFT Correspondence Space-Time Symmetries 

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Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  • Irene Bredberg
    • 1
  • Thomas Hartman
    • 1
  • Wei Song
    • 1
    • 2
  • Andrew Strominger
    • 1
  1. 1.Center for the Fundamental Laws of Nature, Jefferson Physical LaboratoryHarvard UniversityCambridgeU.S.A.
  2. 2.Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical PhysicsChinese Academy of SciencesBeijingChina

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