Central Charges for AdS Black Holes

Abstract

Nontrivial diffeomorphisms act on the horizon of a generic 4D black holes and create distinguishing features referred to as soft hair. Amongst these are a left-right pair of Virasoro algebras with associated charges that reproduce the Bekenstein-Hawking entropy for Kerr black holes. In this paper we show that if one adds a negative cosmological constant, there is a similar set of infinitesimal diffeomorphisms that act non-trivially on the horizon. The algebra of these diffeomorphisms gives rise to a central charge. Adding a boundary counterterm, justified to achieve integrability, leads to well-defined central charges with cL = cR. The macroscopic area law for Kerr-AdS black holes follows from the assumption of a Cardy formula governing the black hole microstates.

v1: 15 pages, v2: minor improvements, published version

References in corpus (4)

• CFT Duals for Extreme Black Holes
• Kerr-AdS/CFT Correspondence in Diverse Dimensions
• Higher Spin Black Holes with Soft Hair
• Kerr-Newman Black Hole Entropy and Soft Hair

Cited by in corpus (6)

• Anomalies in gravitational charge algebras of null boundaries and black hole entropy
• Logarithmic Corrections to the Entropy of Rotating Black Holes and Black Strings in AdS${}_5$
• Hidden Conformal Symmetries from Killing Towers with an Application to Large-D/CFT
• A Selberg zeta function for warped AdS${}_3$ black holes
• CFT Duals for Black Rings and Black Strings
• The integrability of Virasoro charges for axisymmetric Killing horizons