Conformal weights in the Kerr/CFT correspondence
arXiv:1103.5635 · doi:10.1007/JHEP05(2011)117
Abstract
It has been conjectured that a near-extreme Kerr black hole is described by a 2d CFT. Previous work has shown that CFT operators dual to axisymmetric gravitational perturbations have integer conformal weights. In this paper, we study the analogous problem in 5d. We consider the most general near-extreme vacuum black hole with two rotational symmetries. This includes Myers-Perry black holes, black rings and Kaluza-Klein black holes. We find that operators dual to gravitational (or electromagnetic or massless scalar field) perturbations preserving both rotational symmetries have integer conformal weights, the same for all black holes considered.
19 pages
References in corpus (18)
- Near-horizon symmetries of extremal black holes
- Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
- Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
- An instability of higher-dimensional rotating black holes
- No Dynamics in the Extremal Kerr Throat
- Black ring with two angular momenta
- A classification of near-horizon geometries of extremal vacuum black holes
- Kerr-CFT and gravitational perturbations
- Microstates of a Neutral Black Hole in M Theory
- Cargese Lectures on the Kerr/CFT Correspondence
- Greybody Factors and Charges in Kerr/CFT
- Another Realization of Kerr/CFT Correspondence
- Perturbations of near-horizon geometries and instabilities of Myers-Perry black holes
- Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta
- Microscopic Realization of the Kerr/CFT Correspondence
- Statistical Description of Rotating Kaluza-Klein Black Holes
- Microscopics of Extremal Kerr from Spinning M5 Branes
- Perturbations of higher-dimensional spacetimes
Cited by in corpus (5)
- Classification of near-horizon geometries of extremal black holes
- The Kerr/CFT correspondence and its extensions: a comprehensive review
- Perturbations of near-horizon geometries and instabilities of Myers-Perry black holes
- Instabilities of extremal rotating black holes in higher dimensions
- Scaling and Universality in Extremal Black Hole Perturbations