Scaling dimensions in hidden Kerr/CFT
arXiv:1105.2035 · doi:10.1103/PhysRevD.84.024030
Abstract
It has been proposed that a hidden conformal field theory (CFT) governs the dynamics of low frequency scattering in a general Kerr black hole background. We further investigate this correspondence by mapping higher order corrections to the massless wave equations in a Kerr background to an expansion within the CFT in terms of higher dimension operators. This implies the presence of infinite towers of CFT primary operators with positive conformal dimensions compatible with unitarity. The exact Kerr background softly breaks the conformal symmetry and the scaling dimensions of these operators run with frequency. The scale-invariant fixed point is dual to a degenerate case of flat spacetime.
13 pages
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Cited by in corpus (6)
- Conformal structure of the Schwarzschild black hole
- Generalized hidden Kerr/CFT
- General Hidden Conformal Symmetry of 4D Kerr-Newman and 5D Kerr Black Holes
- Conformal Invariance and Near-extreme Rotating AdS Black Holes
- Hidden Kerr/CFT at finite frequencies
- Quasinormal frequencies of a massless scalar in the hidden Kerr/CFT proposal