An Entropy Formula for Higher Spin Black Holes via Conical Singularities

Abstract

We consider the entropy of higher spin black holes in 2+1 dimensions using the conical singularity approach. By introducing a conical singularity along a non contractible cycle and carefully evaluating its contribution to the Chern Simons action, we derive a simple expression for the entropy of a general stationary higher spin black hole. The resulting formula is shown to satisfy the first law of thermodynamics, and yields agreement with previous results based on integrating the first law.

18 pages, typos corrected

References in corpus (4)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Symmetries of Holographic Minimal Models
• Higher Spins in AdS and Twistorial Holography

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• W Symmetry and Integrability of Higher spin black holes
• Observables and Microscopic Entropy of Higher Spin Black Holes
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Probing higher spin black holes from CFT
• Lifshitz black holes in higher spin gravity
• Entanglement Entropy of Extremal BTZ
• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
• Higher Spin Entanglement Entropy
• Metric- and frame-like higher-spin gauge theories in three dimensions
• Higher Spin Cosmology
• Asymptotic symmetries and thermodynamics of higher spin black holes in AdS3
• On the partition functions of higher spin black holes
• A new spin on entanglement entropy
• Black holes in higher spin supergravity
• Chern-Simons Gravity Dual of BCFT
• Resummation of scalar correlator in higher spin black hole background