Central charges for AdS black holes. (28th January 2022)

• Record Type: Journal Article
• Authors: Perry, Malcolm; Rodriguez, Maria J
• Is Part Of: Classical and quantum gravity. Volume 39:Number 4(2022)
• Publication Date: 2022-01-28
• Subjects: charges -- soft charges -- central charge -- AdS black hole -- black hole entropy; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/ac45d8
• Languages: English
• ISSNs: 0264-9381

Abstract

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 c L = c R . The macroscopic area law for Kerr-AdS black holes follows from the assumption of a Cardy formula governing the black hole microstates.