Generalized hidden Kerr/CFT

David A. Lowe, Antun Skanata

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

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 languageEnglish (US)
Article number475401
JournalJournal of Physics A: Mathematical and Theoretical
Volume45
Issue number47
DOIs
StatePublished - Nov 30 2012
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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