Conformal weights in the Kerr/CFT correspondence

Details Conformal weights in the Kerr/CFT correspondence Conformal weights in the Kerr/CFT correspondence

2011-03-29

arxiv.org/abs/1103.5635v1

Physics

High Energy Physics

High Energy Physics - Theory

19 pages

Scientific paper

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.

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