Non-AdS holography in 3-dimensional higher spin gravity - General recipe and example

Abstract

We present the general algorithm to establish the classical and quantum asymptotic symmetry algebra for non-AdS higher spin gravity and implement it for the specific example of spin-3 gravity in the non-principal embedding with Lobachevsky (H^2xR) boundary conditions. The asymptotic symmetry algebra for this example consists of a quantum W_3^2 (Polyakov-Bershadsky) and an affine u(1) algebra. We show that unitary representations of the quantum W_3^2 algebra exist only for two values of its central charge, the trivial c=0 "theory" and the simple c=1 theory.

23pp, v2: added Ref. [25], corrected typo in (5.4c)

References in corpus (5)

• 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 Spins in AdS and Twistorial Holography
• Flat-Space Chiral Gravity
• Exploring Three-dimensional Higher-Spin Supergravity based on sl(N |N - 1) Chern-Simons theories

Cited by in corpus (30)

• Higher spin theory in 3-dimensional flat space
• Most general AdS_3 boundary conditions
• Entanglement Entropy and Higher Spin Holography in AdS${}_3$
• Near-Horizon Geometry and Warped Conformal Symmetry
• Holographic applications of logarithmic conformal field theories
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• Flat space (higher spin) gravity with chemical potentials
• Three-dimensional Spin-3 Theories Based on General Kinematical Algebras
• 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
• Warped Black Holes in Lower-Spin Gravity
• Higher Spin Currents in the N=1 Stringy Coset Minimal Model
• Zooming in on AdS${}_3$/CFT${}_2$ near a BPS Bound
• Unitarity in three-dimensional flat space higher spin theories
• Dualities from higher-spin supergravity
• 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
• Flat space holography in spin-2 extended dilaton-gravity
• Connection vs metric description for non-AdS solutions in higher spin theories
• Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry
• Null warped AdS in higher spin gravity
• Higher spin holography with Galilean symmetry in general dimensions
• Higher Spin Chern-Simons Theory and the Super Boussinesq hierarchy
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity