Generalized hidden Kerr/CFT
High Energy Physics - Theory
2015-06-03 v2
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.
Cite
@article{arxiv.1112.1431,
title = {Generalized hidden Kerr/CFT},
author = {David A. Lowe and Antun Skanata},
journal= {arXiv preprint arXiv:1112.1431},
year = {2015}
}
Comments
10 pages