Higher spin gravity in 3D: black holes, global charges and thermodynamics

Abstract

Global charges and thermodynamic properties of three-dimensional higher spin black holes that have been recently found in the literature are revisited. Since these solutions possess a relaxed asymptotically AdS behavior, following the canonical approach, it is shown that the global charges, and in particular the mass, acquire explicit nontrivial contributions given by nonlinear terms in the deviations with respect to the reference background. It is also found that there are cases for which the first law of thermodynamics is fulfilled in the canonical ensemble, i.e., without work terms associated to the presence of higher spin fields, and remarkably, the semiclassical higher spin black hole entropy is exactly reproduced from Cardy formula.

14 pages. Minor changes and references added

References in corpus (10)

• Massive Gravity in Three Dimensions
• 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
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Higher spin black hole entropy in three dimensions
• Scalar solitons and the microscopic entropy of hairy black holes in three dimensions
• Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity
• Violation of Energy Bounds in Designer Gravity

Cited by in corpus (56)

• Black holes in three dimensional higher spin gravity: A review
• Wilson Lines and Entanglement Entropy in Higher Spin Gravity
• Soft Heisenberg hair on black holes in three dimensions
• Generalized Black Holes in Three-dimensional Spacetime
• Thermodynamics of Higher Spin Black Holes in AdS${}_3$
• Towards metric-like higher-spin gauge theories in three dimensions
• Soft hairy horizons in three spacetime dimensions
• Entanglement Entropy and Higher Spin Holography in AdS${}_3$
• Chemical potentials in three-dimensional higher spin anti-de Sitter gravity
• Thermodynamics of higher spin black holes in 3D
• Bekenstein-Hawking Entropy as Topological Entanglement Entropy
• Higher spin black hole entropy in three dimensions
• Higher Spin Black Holes with Soft Hair
• Asymptotic structure of $\mathcal{N}=2$ supergravity in 3D: extended super-BMS${}_3$ and nonlinear energy bounds
• Higher spin entanglement entropy from CFT
• Charged Moments in $W_3$ Higher Spin Holography
• 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
• Generalized Chern-Simons higher-spin gravity theories in three dimensions
• Lifshitz black holes in higher spin gravity
• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
• Conserved Charges in Extended Theories of Gravity
• The Heisenberg algebra as near horizon symmetry of the black flower solutions of Chern-Simons-like theories of gravity
• Hypersymmetry bounds and three-dimensional higher-spin black holes
• Conformal perturbation theory and higher spin entanglement entropy on the torus
• Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space
• Metric- and frame-like higher-spin gauge theories in three dimensions
• Log corrections to entropy of three dimensional black holes with soft hair
• Asymptotic symmetries and thermodynamics of higher spin black holes in AdS3
• Asymptotic structure of the Einstein-Maxwell theory on AdS${}_3$
• Modular Properties of 3D Higher Spin Theory
• Eternal Higher Spin Black Holes: a Thermofield Interpretation
• Brief review on higher spin black holes
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• A new spin on entanglement entropy
• Black Holes in the 3D Higher Spin Theory and Their Quasi Normal Modes
• Higher Spin Lifshitz Theory and Integrable Systems
• Extremal Higher Spin Black Holes
• Higher-spin gauge theories in three spacetime dimensions
• Higher-spin charges in Hamiltonian form. I. Bose fields
• What does a quantum black hole look like?
• Chern-Simons Gravity Dual of BCFT
• Flat space holography in spin-2 extended dilaton-gravity
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields
• Relative entropy in higher spin holography
• The covariant action of higher spin black holes in three dimensions
• Three dimensional rotating hairy black holes, asymptotics and thermodynamics
• Higher Spin Gravity in $Ad{S}_3$ and Folds on Fermi Surface
• A note on the $\mathcal{N}=2$ super-${\mathcal{W}}_3$ holographic dictionary
• Quasi-Local Conserved Charges of Spin-3 Topologically Massive Gravity
• Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
• AdS${}_3$ Carroll gravity: asymptotic symmetries and C-thermal configurations
• About the phase space of SL(3) Black Holes
• Anomaly of Tensionless String in Light-cone Gauge
• Conserved charges and black holes in the Einstein-Maxwell theory on AdS${}_3$ reconsidered