Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields

Abstract

We discuss the emergence of W-algebras as asymptotic symmetries of higher-spin gauge theories coupled to three-dimensional Einstein gravity with a negative cosmological constant. We focus on models involving a finite number of bosonic higher-spin fields, and especially on the example provided by the coupling of a spin-3 field to gravity. It is described by a SL(3) \times SL(3) Chern-Simons theory and its asymptotic symmetry algebra is given by two copies of the classical W_3-algebra with central charge the one computed by Brown and Henneaux in pure gravity with negative cosmological constant.

38 pages; version to be published in JHEP; typos corrected in eqs. (2.9) and (2.54)

References in corpus (17)

• The Black Hole in Three Dimensional Space Time
• Black Hole Entropy from Near-Horizon Microstates
• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• W-symmetry in Conformal Field Theory
• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• Higher-Spin Gauge Theories in Four, Three and Two Dimensions
• Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Quantum effective action from the AdS/CFT correspondence
• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• Introduction to the Classical Theory of Higher Spins
• On the geometry of higher-spin gauge fields
• Asymptotic Dynamics and Asymptotic Symmetries of Three-Dimensional Extended AdS Supergravity
• Boundary dynamics and the statistical mechanics of the 2+1 dimensional black hole
• Higher-Spin Geometry and String Theory
• W Gravity From Chern--Simons Theory
• BTZ Black Hole as Solution of 3d Higher Spin Gauge Theory

Cited by in corpus (355)

• An AdS_3 Dual for Minimal Model CFTs
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• Symmetries of Holographic Minimal Models
• Higher Spin Black Holes
• Flat Holography: Aspects of the dual field theory
• Triality in Minimal Model Holography
• Higher Spins & Strings
• Asymptotic W-symmetries in three-dimensional higher-spin gauge theories
• Spacetime Geometry in Higher Spin Gravity
• Light-Front Higher-Spin Theories in Flat Space
• Wilson Lines and Entanglement Entropy in Higher Spin Gravity
• Soft Heisenberg hair on black holes in three dimensions
• Bounding the Space of Holographic CFTs with Chaos
• Higher spin theory in 3-dimensional flat space
• Higher Spin Black Holes from CFT
• Cubic Vertices for Symmetric Higher-Spin Gauge Fields in $(A)d{S}_d$
• Effective action in a higher-spin background
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• Field Theories with Conformal Carrollian Symmetry
• Large N=4 Holography
• Partition Functions of Holographic Minimal Models
• Higher spin AdS_3 supergravity and its dual CFT
• Holographic dual of free field theory
• Generalized Black Holes in Three-dimensional Spacetime
• Most general AdS_3 boundary conditions
• Warped Conformal Field Theory as Lower Spin Gravity
• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• Quantum W-symmetry in AdS_3
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• Symplectic and Killing Symmetries of AdS${}_3$ Gravity: Holographic vs Boundary Gravitons
• W-symmetry, topological vertex and affine Yangian
• Partition functions of higher spin black holes and their CFT duals
• Higher-Spin Gauge Theories and Bulk Locality
• Higher Spin Gravity with Matter in AdS_3 and Its CFT Dual
• Semiclassical Virasoro Blocks from AdS${}_3$ Gravity
• Thermodynamics of Higher Spin Black Holes in AdS${}_3$
• Super-W(infinity) Asymptotic Symmetry of Higher-Spin AdS(3) Supergravity
• AdS Description of Induced Higher-Spin Gauge Theory
• On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
• Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime
• Entanglement Entropy and Higher Spin Holography in AdS${}_3$
• More on Quantum Chiral Higher Spin Gravity
• Towards integrability for AdS3/CFT2
• The Gravity Dual of the Ising Model
• Chemical potentials in three-dimensional higher spin anti-de Sitter gravity
• Scalar fields and three-point functions in D=3 higher spin gravity
• Higher spin gravity in 3D: black holes, global charges and thermodynamics
• Higher Spin Entanglement and W_N Conformal Blocks
• Black Holes and Singularity Resolution in Higher Spin Gravity
• Thermodynamics of higher spin black holes in 3D
• BMS Modules in Three Dimensions
• Stress tensor correlators in three-dimensional gravity
• Actions for Self-dual Higher Spin Gravities
• Holographic Rényi entropy for CFT with $W$ symmetry
• Higher spin black hole entropy in three dimensions
• Duality in N=2 minimal model holography
• Solving 3d Gravity with Virasoro TQFT
• Minimal Model Holography for SO(2N)
• A Grassmann Path From AdS_3 to Flat Space
• Holographic applications of logarithmic conformal field theories
• Higher Spin Black Holes with Soft Hair
• String Universality for Permutation Orbifolds
• Holography in de Sitter Space via Chern-Simons Gauge Theory
• Topological gravity and transgression holography
• Towards non-AdS holography in 3-dimensional higher spin gravity
• FV-type action for AdS(5) mixed-symmetry fields
• Comments on Renyi entropy in AdS${}_3$/CFT${}_2$
• The semiclassical limit of W_N CFTs and Vasiliev theory
• On the Chaos Bound in Rotating Black Holes
• Extended higher spin holography and Grassmannian models
• Higher-Spin Theory and Space-Time Metamorphoses
• CFT duals of three-dimensional de Sitter gravity
• On matter-free Higher Spin Gravities in 3d: (partially)-massless fields and general structure
• The action for higher spin black holes in three dimensions
• The Heat Kernel on $AdS$
• On higher-spin supertranslations and superrotations
• Geometry and Observables in Vasiliev's Higher Spin Gravity
• N=1 supersymmetric higher spin holography on AdS_3
• M-Theory Reconstruction from (2,0) CFT and the Chiral Algebra Conjecture
• Exact higher-spin symmetry in CFT: free fermion correlators from Vasiliev Theory
• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• Aspects of Three-dimensional Spin-4 Gravity
• Exploring ${\mathcal{W}}_{\infty }$ in the quadratic basis
• Charged Moments in $W_3$ Higher Spin Holography
• Higher spin entanglement entropy from CFT
• New Conformal Higher Spin Gravities in $3d$
• Holographic conformal blocks from interacting Wilson lines
• Supersymmetric holography on AdS3
• The symmetry of large N=4 holography
• W Symmetry and Integrability of Higher spin black holes
• Topologically Massive Higher Spin Gravity
• Even spin minimal model holography
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Spin-3 Topological Massive Gravity
• Observables and Microscopic Entropy of Higher Spin Black Holes
• Partially Massless Higher-Spin Theory
• Flat space (higher spin) gravity with chemical potentials
• Holographic Lorentz and Carroll Frames
• Partition Functions for Higher-Spin theories in AdS
• Matching four-point functions in higher spin AdS_3/CFT_2
• Three-dimensional Spin-3 Theories Based on General Kinematical Algebras
• Higher Spin Theories in AdS_3 and a Gravitational Exclusion Principle
• One-loop Finiteness of Chiral Higher Spin Gravity
• Notes on higher-spin algebras: minimal representations and structure constants
• Probing higher spin black holes from CFT
• Higher-Spin Flat Space Cosmologies with Soft Hair
• From Coxeter Higher-Spin Theories to Strings and Tensor Models
• Generalizing the ${\mathfrak{bms}}_3$ and 2D-conformal algebras by expanding the Virasoro algebra
• The Worldsheet Dual of Free Super Yang-Mills in 4D
• Extension of the Poincaré group with half-integer spin generators: hypergravity and beyond
• Bi-local Construction of Sp(2N)/dS Higher Spin Correspondence
• Limits of minimal models and continuous orbifolds
• Probing higher spin black holes
• Exploring Three-dimensional Higher-Spin Supergravity based on sl(N |N - 1) Chern-Simons theories
• Universal corrections to entanglement entropy of local quantum quenches
• Near horizon dynamics of three dimensional black holes
• 3D Gravity in a Box
• Basic introduction to higher-spin theories
• Asymptotically flat structure of hypergravity in three spacetime dimensions
• Gauge invariant Lagrangian formulation of massive higher spin fields in (A)dS_3 space
• Conformal blocks from Wilson lines with loop corrections
• N=1 extension of minimal model holography
• Massless Scalars and Higher-Spin BMS in Any Dimension
• Three point functions in higher spin AdS_3 supergravity
• Correlators in W_N Minimal Model Revisited
• Non-AdS holography in 3-dimensional higher spin gravity - General recipe and example
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• Perturbations of W(infinity) CFTs
• Lifshitz black holes in higher spin gravity
• A universal correction to higher spin entanglement entropy
• Instanton R-matrix and W-symmetry
• Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies
• Rotating Higher Spin Partition Functions and Extended BMS Symmetries
• Constraints on Higher Spin CFT${}_2$
• Higher Spins and Matter Interacting in Dimension Three
• Current Interactions and Holography from the 0-Form Sector of Nonlinear Higher-Spin Equations
• Berry Phases on Virasoro Orbits
• Symmetries of Holographic Super-Minimal Models
• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
• On the coset duals of extended higher spin theories
• Lifshitz Holography with Isotropic Scale Invariance
• One loop partition function for Topologically Massive Higher Spin Gravity
• Gravitational dual of averaged free CFT's over the Narain lattice
• Twistor Constructions for Higher-spin Extensions of (Self-dual) Yang-Mills
• Cubic interactions of massless bosonic fields in three dimensions
• Flat/AdS boundary conditions in three dimensional conformal gravity
• A note on conical solutions in 3D Vasiliev theory
• The supersymmetric affine Yangian
• Three-Point Functions in N=2 Higher-Spin Holography
• Short interval expansion of Rényi entropy on torus
• Hypersymmetry bounds and three-dimensional higher-spin black holes
• Quantization of conical spaces in 3D gravity
• Conical Defects in Higher Spin Theories
• Twin-plane-partitions and $\mathcal{N}=2$ affine Yangian
• Extended supersymmetry in AdS_3 higher spin theories
• An Entropy Formula for Higher Spin Black Holes via Conical Singularities
• General Results for Higher Spin Wilson Lines and Entanglement in Vasiliev Theory
• 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
• Conformal perturbation theory and higher spin entanglement entropy on the torus
• Frame-like gauge invariant Lagrangian formulation of massive fermionic higher spin fields in AdS_3 space
• Conical defects and N=2 higher spin holography
• Anti-de Sitter holography for gravity and higher spin theories in two dimensions
• Warped Black Holes in Lower-Spin Gravity
• Quantizing higher-spin gravity in free-field variables
• Wilson Lines and Ishibashi States in AdS${}_3$/CFT${}_2$
• Rainbow Valley of Colored (Anti) de Sitter Gravity in Three Dimensions
• Toward a twistor action for chiral higher-spin gravity
• Asymptotic dynamics of AdS${}_3$ gravity with two asymptotic regions
• Phase Structure of Higher Spin Black Hole
• Black holes in Truncated Higher Spin AdS${}_3$ Gravity
• On the higher-spin charges of conical defects
• Renormalization of gravitational Wilson lines
• Boundary dynamics of asymptotically flat 3D gravity coupled to higher spin fields
• The Bondi-Metzner-Sachs group in five spacetime dimensions
• Rectangular W-algebras, extended higher spin gravity and dual coset CFTs
• Minimal models of field theories: Chiral Higher Spin Gravity
• High Spin Topologically Massive Gravity
• Higher-Spin Self-Dual Yang-Mills and Gravity from the twistor space
• Multipole Expansion in the Quantum Hall Effect
• Higher-spin Yang-Mills, amplitudes and self-duality
• Perturbative and nonperturbative aspects of complex Chern-Simons Theory
• Conical Defects, Black Holes and Higher Spin (Super-)Symmetry
• Hypergravity in AdS_3
• Interpolating Between Asymptotic and Near Horizon Symmetries
• On higher spin extension of the Jackiw-Teitelboim gravity model
• Higher spin algebras and large $\mathcal{N}=4$ holography
• The inside outs of AdS(3)/CFT(2): Exact AdS wormholes with entangled CFT duals
• On one-loop entanglement entropy of two short intervals from OPE of twist operators
• Unitarity Bounds in AdS_3 Higher Spin Gravity
• Leibniz-Chern-Simons Theory and Phases of Exceptional Field Theory
• Topologically massive higher spin gauge theories
• The Gravitational Exclusion Principle and Null States in Anti-de Sitter Space
• Higher Spin Entanglement Entropy
• Higher Spin Resolution of a Toy Big Bang
• Rectangular W-(super)algebras and their representations
• Minimal model of Chiral Higher Spin Gravity
• Holographic Entanglement Entropy For a Large Class of States in 2D CFT
• Zooming in on AdS${}_3$/CFT${}_2$ near a BPS Bound
• Asymptotic structure of the gravitational field in five spacetime dimensions: Hamiltonian analysis
• The $\mathcal{N}=1$ algebra ${\mathcal{W}}_{\infty }[\mu ]$ and its truncations
• Unitarity in three-dimensional flat space higher spin theories
• Dualities from higher-spin supergravity
• Supersymmetry of classical solutions in Chern-Simons higher spin supergravity
• Chiral Higher Spin Gravity and Convex Geometry
• Vertex-Constraints in 3D Higher Spin Theories
• Holographic Rényi Entropy of Single Interval on Torus: with W symmetry
• On one loop corrections in higher spin gravity
• On Higher Spin Symmetries in AdS_{5}
• Superconformal blocks from Wilson lines with loop corrections
• The non-linear coupled spin 2 - spin 3 Cotton equation in three dimensions
• Global and local properties of AdS(2) higher spin gravity
• More on holographic correlators: Twisted and dimensionally reduced structures
• A semi-local holographic minimal model
• Metric- and frame-like higher-spin gauge theories in three dimensions
• Asymptotic symmetries and thermodynamics of higher spin black holes in AdS3
• Higher Spin Cosmology
• A Stringy theory in three dimensions and Massive Higher Spins
• An Action for Matter Coupled Higher Spin Gravity in Three Dimensions
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Eternal Higher Spin Black Holes: a Thermofield Interpretation
• Modular Properties of 3D Higher Spin Theory
• Unravelling the novel Higgs mechanism in (2+1)d Chern-Simons theories
• Massless and Massive Higher Spins from Anti-de Sitter Space Waveguide
• Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity
• Some aspects of holographic W-gravity
• A Twistorial Description of the IKKT-Matrix Model
• A new spin on entanglement entropy
• (p,q) D=3 Poincare supergravities from Lie algebra expansions
• On the partition functions of higher spin black holes
• One loop partition function in AdS_3/CFT_2
• Field Theory of Primaries in W_N Minimal Models
• Symmetries and Charges in Weyl-Fefferman-Graham Gauge
• A String Model for AdS Gravity and Higher Spins
• Planar solutions of higher-spin theory I: free field level
• The Maxwell group in 2+1 dimensions and its infinite-dimensional enhancements
• Black holes in higher spin supergravity
• Higher Spin Lifshitz Theories and the KdV-Hierarchy
• Correspondences among CFTs with different W-algebra symmetry
• Covariant Quiver Gauge Theories
• Higher spin entanglement entropy at finite temperature with chemical potential
• Low Tension Strings on a Cosmological Singularity
• Constraints for Three-Dimensional Higher-Spin Interactions and Conformal Correlators
• Resolving modular flow: a toolkit for free fermions
• $T\bar{T}/J\bar{T}$-deformed WZW models from Chern-Simons AdS${}_3$ gravity with mixed boundary conditions
• Multi-centered higher spin solutions from $W_N$ conformal blocks
• Higher Spin Lifshitz Theory and Integrable Systems
• On BF-type higher-spin actions in two dimensions
• On the Spectrum of Pure Higher Spin Gravity
• Boundary conditions in Toda theories and minimal models
• Holographic Chern-Simons Theories
• Restrictions for $n$-Point Vertices in Higher-Spin Theories
• Chaos in Three-dimensional Higher Spin Gravity
• Action principles for higher and fractional spin gravities
• Black Holes in the 3D Higher Spin Theory and Their Quasi Normal Modes
• Surface charges in Chern-Simons gravity with $T\bar{T}$ deformation
• A Note on Quiver Yangians and $\mathcal{R}$-Matrices
• Bounds on CFTs with $W_3$ algebras and AdS${}_3$ higher spin theories
• Extremal Higher Spin Black Holes
• Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs
• Analysis of higher spin black holes with spin-4 chemical potential
• Integrable systems and the boundary dynamics of higher spin gravity on AdS${}_3$
• Higher spin AdS${}_3$ gravity and Tits-Satake diagrams
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• Exploring new Boundary Conditions for $\mathcal{N}=(1,1)$ Extended Higher Spin $Ad{S}_3$ Supergravity
• Chern-Simons action and the Carrollian Cotton tensors
• On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
• Conical spaces, modular invariance and $c_{p,1}$ holography
• Chiral Higher Spin Gravity
• The limit of N=(2,2) superconformal minimal models
• Correspondences between WZNW models and CFTs with W-algebra symmetry
• Three-dimensional de Sitter holography and bulk correlators at late time
• Higher-spin gauge theories in three spacetime dimensions
• Finiteness of 3D higher spin gravity Landscape
• $\mathcal{W}$ algebras are L${}_{\infty }$ algebras
• Asymptotic Symmetries of Colored Gravity in Three Dimensions
• Constraining higher-spin S-matrices
• Higher spin JT gravity and a matrix model dual
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields
• Higher-spin charges in Hamiltonian form. I. Bose fields
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• Non-relativistic spin-3 symmetries in 2+1 dimensions from expanded/extended Nappi-Witten algebras
• Flat space holography in spin-2 extended dilaton-gravity
• Twist-field representations of W-algebras, exact conformal blocks and character identities
• Chern-Simons Gravity Dual of BCFT
• Black Flowers and Real Forms of Higher Spin Symmetries
• Quiver Yangians and $\mathcal{W}$-Algebras for Generalized Conifolds
• Quasinormal modes and black hole hairs in AdS
• Gravitational and gauge couplings in Chern-Simons fractional spin gravity
• Connection vs metric description for non-AdS solutions in higher spin theories
• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• Boundary action of free AdS higher-spin gauge fields and the holographic correspondence
• New entropy formula for Kerr black holes
• Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence
• Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras
• $\mathcal{N}=(2,2)$ extended $\mathfrak{sl}(3|2)$ Chern-Simons $Ad{S}_3$ supergravity with new boundaries
• Hypergravity in five dimensions
• Colourful Poincaré symmetry, gravity and particle actions
• Infinite distances in multicritical CFTs and higher-spin holography
• Relative entropy in higher spin holography
• Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry
• Resummation of scalar correlator in higher spin black hole background
• A note on higher-order vertices of higher-spin fields in flat and (A)dS space
• Spin-3 quasinormal modes of BTZ black hole
• On the Explicit Asymptotic ${\mathcal{W}}_5$ Symmetry of 3D Chern-Simons Higher Spin $Ad{S}_3$ Gravity
• Chaos bound in Bershadsky-Polyakov theory
• The covariant action of higher spin black holes in three dimensions
• Symmetry Algebras of Stringy Cosets
• Exact Path Integral for 3D Higher Spin Gravity
• Topological interfaces in Chern-Simons theory and $Ad{S}_3/CF{T}_2$
• Higher Spin Gravity in $Ad{S}_3$ and Folds on Fermi Surface
• Higher Spin Black Holes in Three Dimensions: Comments on Asymptotics and Regularity
• Late-time correlation functions in dS${}_3$/CFT${}_2$ correspondence
• String Amplitudes and Frame-like Formalism for Higher Spins
• Towards Massless Sector of Tensionless Strings on $Ad{S}_5$
• A Supersymmetric Enhancement of $\mathcal{N}=1$ Holographic Minimal Model
• Higher spins from Nambu-Chern-Simons theory
• Quantum 3D Tensionless String in Light-cone Gauge
• Asymptotic dynamics of three dimensional supergravity and higher spin gravity revisited
• Black hole solutions of three dimensional E${}_6$-gravity
• The Higher Spin Rectangle
• On matter coupled to the higher spin square
• A note on the $\mathcal{N}=2$ super-${\mathcal{W}}_3$ holographic dictionary
• D2 Chern-Simons Gravity
• On tensionless string field theory in AdS${}_3$
• On the $\mathcal{N}=3$ and $\mathcal{N}=4$ superconformal holographic dictionary
• Chronology protection in stationary three-dimensional spacetimes
• Null warped AdS in higher spin gravity
• Generalized Toda Theory from Six Dimensions and the Conifold
• Logarithmic quasinormal modes of a spin-3 field around the BTZ black hole
• Massless spin 2 interacting with massive higher spins in d=3
• Iwasawa nilpotency degree of non compact symmetric cosets in N-extended Supergravity
• Schwarzian for colored Jackiw-Teitelboim gravity
• Coupling coefficient in three dimensional higher spin holography
• Unfolded Fierz-Pauli Equations in Three-Dimensional Asymptotically Flat Spacetimes
• Space-time symmetry from the world-sheet
• Three-dimensional non-relativistic Hietarinta supergravity
• Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
• Infinite symmetry on the boundary of SL(3)/SO(3)
• Conformal Carrollian Spin-3 Gravity in 3d
• Higher spin holography with Galilean symmetry in general dimensions
• Conformal field theories from deformations of theories with $W_n$ symmetry
• On higher spin cubic interactions in d=3
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity
• Supersymmetric Localization on dS: Sum over topologies
• On scalar propagators of three-dimensional higher-spin black holes
• Metric-Like Formulation Of the Spin-Three Gravity In Three Dimensions
• Higher Spin Chern-Simons Theory and the Super Boussinesq hierarchy
• Free-field construction of Carrollian $W_N$-algebras
• About the phase space of SL(3) Black Holes
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect
• Symmetric deformed 2D/3D Hurwitz-Kontsevich model and affine Yangian of gl(1)
• On hypersymmetry in three dimensioons
• Algebraic Realisation of the Zamolodchikov Metric in Narain Theories
• Towards $W_3$ classical blocks with semi-degenerate operators
• AdS${}_3$/AdS${}_2$ degression of Fronsdal fields