Generalized hidden Kerr/CFT

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)x SL(2,R) algebras. We identify limits in which the SL(2,R)xSL(2,R) algebra contracts to an SL(2,R) symmetry of the Schwarzschild background. We note that for a particular value of our new 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 CFT underlying the quantum Kerr black hole.

10 pages

References in corpus (8)

• Hidden Conformal Symmetry of the Kerr Black Hole
• Conformal Symmetry for Black Holes in Four Dimensions
• Analytic Study of Rotating Black-Hole Quasinormal Modes
• Hidden Conformal Symmetries of Five-Dimensional Black Holes
• Conformal structure of the Schwarzschild black hole
• Asymptotic Spectroscopy of Rotating Black Holes
• Hidden Conformal Symmetry of Warped AdS_3 Black Holes
• Scaling dimensions in hidden Kerr/CFT

Cited by in corpus (16)

• Love symmetry
• Kerr-Newman-NUT-Kiselev black holes in Rastall theory of gravity and Kerr/CFT Correspondence
• Near-Zone Symmetries of Kerr Black Holes
• Kerr/CFT Correspondence on Kerr-Newman-NUT-Quintessence Black Hole
• Love Numbers for Rotating Black Holes in Higher Dimensions
• Magnetized Kerr/CFT Correspondence
• Hidden conformal symmetry on the black hole photon sphere
• Deformed conformal symmetry of Kerr-Newman-NUT-AdS black holes
• Deformed Hidden Conformal Symmetry for Rotating Black Holes
• A note on the hidden conformal structure of non-extremal black holes
• Love symmetry in higher-dimensional rotating black hole spacetimes
• Hidden Kerr/CFT at finite frequencies
• Central charge
• Harrison metrics for the Schwarzschild black hole
• Cosmology as a CFT${}_1$
• Quasinormal frequencies of a massless scalar in the hidden Kerr/CFT proposal