Towards metric-like higher-spin gauge theories in three dimensions

Abstract

We consider the coupling of a symmetric spin-3 gauge field to three-dimensional gravity in a second order metric-like formulation. The action that corresponds to an SL(3,R) x SL(3,R) Chern-Simons theory in the frame-like formulation is identified to quadratic order in the spin-3 field. We apply our result to compute corrections to the area law for higher-spin black holes using Wald's entropy formula.

29 pages; v2: typos corrected

References in corpus (10)

• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Minimal Model Holography
• Symmetries of Holographic Minimal Models
• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• Current Exchanges and Unconstrained Higher Spins
• Higher spin gravity in 3D: black holes, global charges and thermodynamics
• Higher Spins and Open Strings: Quartic Interactions
• Solving the Noether procedure for cubic interactions of higher spins in (A)dS
• On gravitational interactions for massive higher spins in $Ad{S}_3$
• Higher Spins and Current Exchanges

Cited by in corpus (67)

• Black holes in three dimensional higher spin gravity: A review
• Wilson Lines and Entanglement Entropy in Higher Spin Gravity
• Higher spin theory in 3-dimensional flat space
• Generalized Black Holes in Three-dimensional Spacetime
• Thermodynamics of Higher Spin Black Holes in AdS${}_3$
• Elements of Vasiliev theory
• Higher spin black hole entropy in three dimensions
• Higher Spin Black Holes with Soft Hair
• Cubic interactions of Maxwell-like higher spins
• Comments on Renyi entropy in AdS${}_3$/CFT${}_2$
• On matter-free Higher Spin Gravities in 3d: (partially)-massless fields and general structure
• Towards a bulk description of higher spin SYK
• Gravity and Unification: A review
• Charged Moments in $W_3$ Higher Spin Holography
• New Conformal Higher Spin Gravities in $3d$
• 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
• Probing higher spin black holes from CFT
• Higher-Spin Flat Space Cosmologies with Soft Hair
• Basic introduction to higher-spin theories
• Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices
• Higher Spins and Matter Interacting in Dimension Three
• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
• Cubic interactions of massless bosonic fields in three dimensions
• On the coset duals of extended higher spin theories
• General Results for Higher Spin Wilson Lines and Entanglement in Vasiliev Theory
• Warped Black Holes in Lower-Spin Gravity
• Higher Spin Currents in the N=1 Stringy Coset Minimal Model
• Vertex-Constraints in 3D Higher Spin Theories
• On Higher Spin Symmetries in AdS_{5}
• Metric- and frame-like higher-spin gauge theories in three dimensions
• Cubic interactions of arbitrary spin fields in 3d flat space
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• Asymptotic symmetries and thermodynamics of higher spin black holes in AdS3
• Brief review on higher spin black holes
• Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity
• The Schouten tensor as a connection in the unfolding of 3D conformal higher-spin fields
• How General Is Holography?
• Rainbow Vacua of Colored Higher Spin Gravity in Three Dimensions
• Constraints for Three-Dimensional Higher-Spin Interactions and Conformal Correlators
• Higher Spin Lifshitz Theories and the KdV-Hierarchy
• Higher Spin Lifshitz Theory and Integrable Systems
• Higher spin AdS${}_3$ gravity and Tits-Satake diagrams
• Higher-spin gauge theories in three spacetime dimensions
• AdS/CFT for 3D Higher-Spin Gravity Coupled to Matter Fields
• Frame- and Metric-like Higher-Spin Fermions
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields
• Chern-Simons Gravity Dual of BCFT
• Connection vs metric description for non-AdS solutions in higher spin theories
• Metric-Like Formalism for Matter Fields Coupled to 3D Higher Spin Gravity
• Aspects of Higher-Spin Theory with Fermions
• Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence
• A note on higher-order vertices of higher-spin fields in flat and (A)dS space
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• The covariant action of higher spin black holes in three dimensions
• D2 Chern-Simons Gravity
• Holographic chiral induced W-gravities
• Quasi-Local Conserved Charges of Spin-3 Topologically Massive Gravity
• Higher spin holography with Galilean symmetry in general dimensions
• Reformulations of Yang-Mills Theories with Space-time Tensor Fields
• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• Color decorations of Jackiw-Teitelboim gravity
• Higher Spin Gravity and Exact Holography
• AdS${}_3$/AdS${}_2$ degression of massless particles
• A Generalization of Gravity
• Metric-Like Formulation Of the Spin-Three Gravity In Three Dimensions