Higher Spin Black Holes with Soft Hair

Abstract

We construct a new set of boundary conditions for higher spin gravity, inspired by a recent "soft Heisenberg hair"-proposal for General Relativity on three-dimensional Anti-de Sitter. The asymptotic symmetry algebra consists of a set of affine $\hat{u}(1)$ current algebras. Its associated canonical charges generate higher spin soft hair. We focus first on the spin-3 case and then extend some of our main results to spin-$N$, many of which resemble the spin-2 results: the generators of the asymptotic $W_3$ algebra naturally emerge from composite operators of the $\hat{u}(1)$ charges through a twisted Sugawara construction; our boundary conditions ensure regularity of the Euclidean solutions space independently of the values of the charges; solutions, which we call "higher spin black flowers", are stationary but not necessarily spherically symmetric. Finally, we derive the entropy of higher spin black flowers, and find that for the branch that is continuously connected to the BTZ black hole, it depends only on the affine purely gravitational zero modes. Using our map to $W$-algebra currents we recover well-known expressions for higher spin entropy. We also address higher spin black flowers in the metric formalism and achieve full consistency with previous results.

arXiv comment24 pages, no figures

References in corpus (69)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Soft Hair on Black Holes
• W-symmetry in Conformal Field Theory
• 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
• Higher-Spin Gauge Theories in Four, Three and Two Dimensions
• Measurement of $J/\psi$ helicity distributions in inelastic photoproduction at HERA
• Supertranslations and Superrotations at the Black Hole Horizon
• Symmetries of Holographic Minimal Models
• Higher Spin Black Holes
• Higher Spins & Strings
• Asymptotic W-symmetries in three-dimensional higher-spin gauge theories
• Spacetime Geometry in Higher Spin Gravity
• Wilson Lines and Entanglement Entropy in Higher Spin Gravity
• Soft Heisenberg hair on black holes in three dimensions
• Higher spin theory in 3-dimensional flat space
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• 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
• Boundary conditions for General Relativity on AdS${}_3$ and the KdV hierarchy
• Entanglement Entropy and Higher Spin Holography in AdS${}_3$
• Chemical potentials in three-dimensional higher spin anti-de Sitter gravity
• Higher spin gravity in 3D: black holes, global charges and thermodynamics
• Higher Spin Entanglement and W_N Conformal Blocks
• Black Hole Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Three Dimensional Black Holes
• Black Holes and Singularity Resolution in Higher Spin Gravity
• Thermodynamics of higher spin black holes in 3D
• String Theory as a Higher Spin Theory
• Higher spin black hole entropy in three dimensions
• Towards non-AdS holography in 3-dimensional higher spin gravity
• BMS in Cosmology
• Classical Limit of Black Hole Quantum N-Portrait and BMS Symmetry
• Aspects of Three-dimensional Spin-4 Gravity
• Higher spin entanglement entropy from CFT
• Horizon Shells and BMS-like Soldering Transformations
• W Symmetry and Integrability of Higher spin black holes
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Observables and Microscopic Entropy of Higher Spin Black Holes
• Flat space (higher spin) gravity with chemical potentials
• On the Membrane Paradigm and Spontaneous Breaking of Horizon BMS Symmetries
• Gravitational Black Hole Hair from Event Horizon Supertranslations
• Goldstone origin of black hole hair from supertranslations and criticality
• Extension of the Poincaré group with half-integer spin generators: hypergravity and beyond
• Asymptotically flat structure of hypergravity in three spacetime dimensions
• Lifshitz black holes in higher spin gravity
• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
• The Heisenberg algebra as near horizon symmetry of the black flower solutions of Chern-Simons-like theories of gravity
• Lifshitz Holography with Isotropic Scale Invariance
• Hypersymmetry bounds and three-dimensional higher-spin black holes
• Asymptotically locally flat spacetimes and dynamical black flowers in three dimensions
• Near Horizon Symmetries of the Non-Extremal Black Hole Solutions of Generalized Minimal Massive Gravity
• Black holes in Truncated Higher Spin AdS${}_3$ Gravity
• The Super BMS Algebra, Scattering and Holography
• Unitarity Bounds in AdS_3 Higher Spin Gravity
• Asymptotic symmetries and thermodynamics of higher spin black holes in AdS3
• Higher Spin Cosmology
• Semi-classical unitarity in 3-dimensional higher-spin gravity for non-principal embeddings
• Modular Properties of 3D Higher Spin Theory
• Some aspects of holographic W-gravity
• Black Holes in the 3D Higher Spin Theory and Their Quasi Normal Modes
• Extremal Higher Spin Black Holes
• The covariant action of higher spin black holes in three dimensions
• Higher Spin Black Holes in Three Dimensions: Comments on Asymptotics and Regularity
• Null warped AdS in higher spin gravity
• The sky is the limit: free boundary conditions in AdS${}_3$ Chern-Simons theory
• About the phase space of SL(3) Black Holes

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• Most general flat space boundary conditions in three-dimensional Einstein gravity
• Soft hairy horizons in three spacetime dimensions
• Symmetries at Null Boundaries: Two and Three Dimensional Gravity Cases
• Black Hole Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Three Dimensional Black Holes
• Horizon fluff, semi-classical black hole microstates - Log-corrections to BTZ entropy and black hole/particle correspondence
• Asymptotic structure of $\mathcal{N}=2$ supergravity in 3D: extended super-BMS${}_3$ and nonlinear energy bounds
• Three-dimensional Spin-3 Theories Based on General Kinematical Algebras
• Higher-Spin Flat Space Cosmologies with Soft Hair
• Generalized Chern-Simons higher-spin gravity theories in three dimensions
• Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies
• Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Generic AdS3 Black Holes
• Gravitational dual of averaged free CFT's over the Narain lattice
• Integrable systems with BMS${}_3$ Poisson structure and the dynamics of locally flat spacetimes
• On Rigidity of 3d Asymptotic Symmetry Algebras
• Quantizing higher-spin gravity in free-field variables
• Warped Black Holes in Lower-Spin Gravity
• Interpolating Between Asymptotic and Near Horizon Symmetries
• Soft hairs on isolated horizon implanted by electromagnetic fields
• Log corrections to entropy of three dimensional black holes with soft hair
• Kerr-Newman Black Hole Entropy and Soft Hair
• Near horizon symmetries, emergence of Goldstone modes and thermality
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Central Charges for AdS Black Holes
• Soft hairy warped black hole entropy
• Integrable systems and the boundary dynamics of higher spin gravity on AdS${}_3$
• Symmetries near a generic charged null surface and associated algebra: an off-shell analysis
• Noncommutative Heisenberg algebra in the neighbourhood of a generic null surface
• Supertranslation Hair of Schwarzschild Black Hole: A Wilson Line Perspective
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields
• Black Flowers and Real Forms of Higher Spin Symmetries
• New entropy formula for Kerr black holes
• Hypergravity in five dimensions
• Higher Spin Gravity in $Ad{S}_3$ and Folds on Fermi Surface
• Deformation of Asymptotic Symmetry Algebras and Their Physical Realizations
• Generalized dilaton gravity in 2d
• Black hole solutions of three dimensional E${}_6$-gravity
• Phase space holography with no strings attached
• Higher spin swampland conjecture for massive AdS${}_3$ gravity
• Linearized gravity and soft graviton theorem in de Sitter spacetime
• Near horizon linearized gravity and soft theorem
• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
• BMS Goldstone modes near the horizon of a Kerr black hole are thermal
• Landscape of Narain CFTs
• Non-local Geometry inside Lifshitz Horizon
• Maxwell Chern-Simons gravity in 3D: Thermodynamics of cosmological solutions and black holes with torsion
• Algebraic Realisation of the Zamolodchikov Metric in Narain Theories
• Aspects of Higher Spin Theories, Conformal Field Theories and Holography
• Hawking radiation of Dirac particles from soft-hairy black holes