Towards non-AdS holography in 3-dimensional higher spin gravity

Abstract

We take the first steps towards non-AdS holography in higher spin gravity. Namely, we propose a variational principle for generic 3-dimensional higher spin gravity that accommodates asymptotic backgrounds beyond AdS, like asymptotically Schrodinger, Lifshitz or warped AdS spacetimes. As examples we study in some detail the four sl(2) embeddings of spin-4 gravity and provide associated geometries, including an asymptotic Lifshitz black hole.

26 pp, v2: added Refs. and clarified some statements, v3: minor changes, made notation more transparent in sections 4 and 5, matches published version

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Cited by in corpus (46)

• Higher spin theory in 3-dimensional flat space
• Most general AdS_3 boundary conditions
• Entanglement Entropy and Higher Spin Holography in AdS${}_3$
• Higher spin gravity in 3D: black holes, global charges and thermodynamics
• Near-Horizon Geometry and Warped Conformal Symmetry
• Non-Relativistic Chern-Simons Theories and Three-Dimensional Horava-Lifshitz Gravity
• Stress tensor correlators in three-dimensional gravity
• Higher spin black hole entropy in three dimensions
• Higher Spin Black Holes with Soft Hair
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• 3D supergravity from wrapped M5-branes
• 3D Supergravity from wrapped D3-branes
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Flat space (higher spin) gravity with chemical potentials
• Three-dimensional Spin-3 Theories Based on General Kinematical Algebras
• Higher-Spin Flat Space Cosmologies with Soft Hair
• Non-AdS holography in 3-dimensional higher spin gravity - General recipe and example
• Lifshitz black holes in higher spin gravity
• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
• Lifshitz Holography with Isotropic Scale Invariance
• Flat/AdS boundary conditions in three dimensional conformal gravity
• The Primary Spin-4 Casimir Operators in the Holographic SO(N) Coset Minimal Models
• Unitarity Bounds in AdS_3 Higher Spin Gravity
• Zooming in on AdS${}_3$/CFT${}_2$ near a BPS Bound
• Dualities from higher-spin supergravity
• SUSY properties of warped AdS${}_3$
• Brief review on higher spin black holes
• How General Is Holography?
• Black holes and thermodynamics - The first half century
• Higher Spin Lifshitz Theories and the KdV-Hierarchy
• Holographic Chern-Simons Theories
• Higher Spin Lifshitz Theory and Integrable Systems
• Higher-spin gauge theories in three spacetime dimensions
• Lobachevsky holography in conformal Chern-Simons gravity
• The Brown-York mass of black holes in Warped Anti-de Sitter space
• Flat space holography in spin-2 extended dilaton-gravity
• Connection vs metric description for non-AdS solutions in higher spin theories
• Classical Aspects of Higher Spin Topologically Massive Gravity
• Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry
• Null warped AdS in higher spin gravity
• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• Higher spin holography with Galilean symmetry in general dimensions
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity
• Critical points of WAdS/CFT and higher-curvature gravity
• Higher Spin Chern-Simons Theory and the Super Boussinesq hierarchy