A note on Kerr/CFT and free fields

Abstract

The near-horizon geometry of the extremal four-dimensional Kerr black hole and certain generalizations thereof has an SL(2,R) x U(1) isometry group. Excitations around this geometry can be controlled by imposing appropriate boundary conditions. For certain boundary conditions, the U(1) isometry is enhanced to a Virasoro algebra. Here, we propose a free-field construction of this Virasoro algebra.

10 pages, v2: comments and references added

References in corpus (4)

• Surface charge algebra in gauge theories and thermodynamic integrability
• Higher-Derivative Corrections to the Asymptotic Virasoro Symmetry of 4d Extremal Black Holes
• A Comment on Kerr-CFT and Wald Entropy
• Isometry-preserving boundary conditions in the Kerr/CFT correspondence

Cited by in corpus (2)

• Hidden Conformal Symmetry of Rotating Black Hole with four Charges
• A near-NHEK/CFT correspondence