English

Scaling dimensions in hidden Kerr/CFT

High Energy Physics - Theory 2011-08-08 v1 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.1105.2035,
  title  = {Scaling dimensions in hidden Kerr/CFT},
  author = {David A. Lowe and Ilies Messamah and Antun Skanata},
  journal= {arXiv preprint arXiv:1105.2035},
  year   = {2011}
}

Comments

13 pages

R2 v1 2026-06-21T18:05:22.181Z