2010

Hidden Conformal Symmetry and Quasi-normal Modes

Chen, Bin, Long, Jiang

Understand

We provide an algebraic way to calculate the quasi-normal modes of a black hole, which possesses a hidden conformal symmetry.

We construct an infinite tower of quasi-normal modes from the highest-weight mode, in a simple and elegant way.
For the scalar, the hidden conformal symmetry manifest itself in the fact that the scalar Laplacian could be rewritten in terms of the $SL(2,R)$ quadratic Casimir.
For the vector and the tensor, the hidden conformal symmetry acts on them through Lie derivatives.

Built on

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D. Birmingham, I. Sachs and S. N. Solodukhin, “Conformal Field Theory Interpretation of Black Hole Quasinomral Modes” Phys. Rev. Lett. 88
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