4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations

Abstract

We construct an infinite-dimensional space of solutions to Vasiliev's equations in four dimensions that are asymptotic to AdS spacetime and superpose massless scalar particle modes over static higher spin black holes. Each solution is obtained by a large gauge transformation of an all-order perturbatively defined particular solution given in a simple gauge, in which the spacetime connection vanishes, the twistor space connection is holomorphic, and all local degrees of freedom are encoded into the residual twistor space dependence of the spacetime zero-forms. The latter are expanded over two dual spaces of Fock space operators, corresponding to scalar particle and static black hole modes, equipped with positive definite sesquilinear and bilinear forms, respectively. Switching on an AdS vacuum gauge function, the twistor space connection becomes analytic at generic spacetime points, which makes it possible to reach Vasiliev's gauge, in which Fronsdal fields arise asymptotically, by another large transformation given here at first order. The particle and black hole modes are related by a twistor space Fourier transform, resulting in a black hole backreaction already at the second order of classical perturbation theory. We speculate on the existence of a fine-tuned branch of moduli space that is free from black hole modes and directly related to the quasi-local deformed Fronsdal theory. Finally, we comment on a possible interpretation of the higher spin black hole solutions as black-hole microstates.

arXiv comment63 pages + appendices; v2: reference added; v3: comments and references added, typos corrected

References in corpus (85)

• Gauge Theory Correlators from Non-Critical String Theory
• Deformation quantization of Poisson manifolds, I
• AdS Dual of the Critical O(N) Vector Model
• The fuzzball proposal for black holes: an elementary review
• Massless Higher Spins and Holography
• AdS/CFT duality and the black hole information paradox
• 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
• An AdS_3 Dual for Minimal Model CFTs
• Chern-Simons Theory with Vector Fermion Matter
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• Higher Spin Gauge Theories: Star-Product and AdS Space
• Higher-Spin Gauge Theories in Four, Three and Two Dimensions
• Nonlinear higher spin theories in various dimensions
• Holography in 4D (Super) Higher Spin Theories and a Test via Cubic Scalar Couplings
• Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time
• The fuzzball proposal for black holes
• Stringy gravity, interacting tensionless strings and massless higher spins
• Measurement of $J/\psi$ helicity distributions in inelastic photoproduction at HERA
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• Statistical interpretation of Bekenstein entropy for systems with a stretched horizon
• Symmetries of Holographic Minimal Models
• Lattice Gauge Fields and Discrete Noncommutative Yang-Mills Theory
• Higher Spins & Strings
• Higher Spins in AdS and Twistorial Holography
• Cubic interaction vertices for fermionic and bosonic arbitrary spin fields
• On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory
• Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
• AdS_4/CFT_3 Construction from Collective Fields
• General trilinear interaction for arbitrary even higher spin gauge fields
• Cubic Vertices for Symmetric Higher-Spin Gauge Fields in $(A)d{S}_d$
• Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory
• Holographic dual of free field theory
• Static BPS black hole in 4d higher-spin gauge theory
• Higher-spin Interactions from CFT: The Complete Cubic Couplings
• Higher-Spin Interactions: four-point functions and beyond
• Higher Spin Interactions in Four Dimensions: Vasiliev vs. Fronsdal
• Elements of Vasiliev theory
• Analysis of Higher Spin Field Equations in Four Dimensions
• Biaxially symmetric solutions to 4D higher-spin gravity
• An Exact Solution of 4D Higher-Spin Gauge Theory
• Families of exact solutions to Vasiliev's 4D equations with spherical, cylindrical and biaxial symmetry
• Spinning Witten Diagrams
• Holography, Unfolding and Higher-Spin Theory
• A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field Equations
• Brane Partons and Singleton Strings
• String Theory as a Higher Spin Theory
• Real Forms of Complex Higher Spin Field Equations and New Exact Solutions
• Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space
• A spacetime characterization of the Kerr metric
• Operator algebra of free conformal currents via twistors
• Cubic interactions of Maxwell-like higher spins
• Higher Spin Realization of the dS/CFT Correspondence
• Higher Spin Gravity Amplitudes From Zero-form Charges
• Higher Spins and Yangian Symmetries
• Geometry and Observables in Vasiliev's Higher Spin Gravity
• Star-Product and Massless Free Field Dynamics in $Ad{S}_4$
• Higher-Spin Algebras, Holography and Flat Space
• A minimal BV action for Vasiliev's four-dimensional higher spin gravity
• From Higher Spins to Strings: A Primer
• Chern-Simons Matter Theories and Higher Spin Gravity
• Probing higher spin black holes
• Bi-local Construction of Sp(2N)/dS Higher Spin Correspondence
• Unfolded Description of $Ad{S}_4$ Kerr Black Hole
• An action principle for Vasiliev's four-dimensional higher-spin gravity
• Solving the Noether procedure for cubic interactions of higher spins in (A)dS
• On the Algebraic Structure of Higher-Spin Field Equations and New Exact Solutions
• Twistor space observables and quasi-amplitudes in 4D higher spin gravity
• A proposal to resolve the black hole information paradox
• On the Local Frame in Nonlinear Higher-Spin Equations
• Test of the local form of higher-spin equations via AdS/CFT
• 4D Higher Spin Gravity with Dynamical Two-Form as a Frobenius--Chern--Simons Gauge Theory
• Covariant Star Product for Exterior Differential Forms on Symplectic Manifolds
• Poisson Algebra of Differential Forms
• BTZ Black Hole as Solution of 3d Higher Spin Gauge Theory
• On big crunch solutions in Prokushkin-Vasiliev theory
• An Action for Matter Coupled Higher Spin Gravity in Three Dimensions
• New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity
• Charges in nonlinear higher-spin theory
• On Curvature Expansion of Higher Spin Gauge Theory
• A Star Product for Differential Forms on Symplectic Manifolds
• On Classical Solutions of 4d Supersymmetric Higher Spin Theory
• An axial gauge ansatz for higher spin theories
• Star-Product Functions in Higher-Spin Theory and Locality
• Differential Poisson Sigma Models with Extended Supersymmetry

Cited by in corpus (14)

• FRW and domain walls in higher spin gravity
• Fronsdal fields from gauge functions in Vasiliev's higher-spin gravity
• Planar solutions of higher-spin theory. Nonlinear corrections
• Quartic locality of higher-spin gravity in de Sitter and Euclidean anti-de Sitter space
• Metaplectic representation and ordering (in)dependence in Vasiliev's higher spin gravity
• The holographic dual of the Penrose transform
• Planar solutions of higher-spin theory I: free field level
• Higher spin fluctuations on spinless 4D BTZ black hole
• What does a quantum black hole look like?
• Scalar modes and the linearized Schwarzschild solution on a quantized FLRW space-time in Yang-Mills matrix models
• Spherically symmetric solutions of higher-spin gravity in the IKKT matrix model
• Higher-spin initial data in twistor space with complex stargenvalues
• Bosonic Higher Spin Gravity in any Dimension with Dynamical Two-Form
• On boundary conditions and spacetime/fibre duality in Vasiliev's higher-spin gravity