Generalized hidden Kerr/CFT

TL;DR

This paper constructs a family of hidden conformal symmetries in Kerr black hole perturbations, linking them to quasinormal modes and suggesting a fundamental conformal field theory description of quantum Kerr black holes.

Contribution

It introduces a new parameterized family of vector fields generating SL(2,R) symmetries in Kerr perturbations, connecting these symmetries to quasinormal modes and potential CFT duals.

Findings

Identifies a family of SL(2,R)x SL(2,R) algebras in Kerr perturbations.

Shows the algebra contracts to SL(2,R) in Schwarzschild limit.

Links a specific symmetry to the quasinormal mode spectrum.

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.