Horizon symmetries and hairy black holes in AdS

Abstract

We investigate whether supertranslation symmetry may appear in a scenario that involves black holes in AdS space. The framework we consider is massive 3D gravity, which admits a rich black hole phase space, including stationary AdS black holes with softly decaying hair. We consider a set of asymptotic conditions that permits such decaying near the boundary, and which, in addition to the local conformal symmetry, is preserved by an extra local current. The corresponding algebra of diffeomorphisms consists of two copies of Virasoro algebra in semi-direct sum with an infinite-dimensional Abelian ideal. We then reorient the analysis to the near horizon region, where infinite-dimensional symmetries also appear. The supertranslation symmetry at the horizon yields an infinite set of non-trivial charges, which we explicitly compute. The zero-mode of these charges correctly reproduces the black hole entropy. In contrast to Einstein gravity, in the higher-derivative theory subleading terms in the near horizon expansion contribute to the near horizon charges. Such terms happen to capture the higher-curvature corrections to the Bekenstein area law.

arXiv comment25 pages, 1 figure

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Cited by in corpus (8)

• Quantum Mechanics of a Spherically Symmetric Causal Diamond in Minkowski Spacetime
• Horizon Hair from Inversion Symmetry
• Linearized gravity and soft graviton theorem in de Sitter spacetime
• Hairy Black holes in General Minimal Massive Gravity
• Covariant phase space with null boundaries
• Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity
• The mass of a Lifshitz black hole
• Open String Probe in Soft Hair BTZ