Scaling dimensions in hidden Kerr/CFT

Details Scaling dimensions in hidden Kerr/CFT Scaling dimensions in hidden Kerr/CFT

2011-05-10

arxiv.org/abs/1105.2035v1

Phys.Rev.D84:024030,2011

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1103/PhysRevD.84.024030

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.

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