Higher Spin Black Holes from CFT

Abstract

Higher spin gravity in three dimensions has explicit black holes solutions, carrying higher spin charge. We compute the free energy of a charged black hole from the holographic dual, a 2d CFT with extended conformal symmetry, and find exact agreement with the bulk thermodynamics. In the CFT, higher spin corrections to the free energy can be calculated at high temperature from correlation functions of W-algebra currents.

24 pages; v2 reference added

References in corpus (8)

• 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
• Partition functions of higher spin black holes and their CFT duals
• Black Holes and Singularity Resolution in Higher Spin Gravity
• Correlation Functions in Holographic Minimal Models
• The Coset Spin-4 Casimir Operator and Its Three-Point Functions with Scalars
• Aspects of Three-dimensional Spin-4 Gravity

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