Topologically Massive Higher Spin Gravity

Abstract

We look at the generalisation of topologically massive gravity (TMG) to higher spins, specifically spin-3. We find a special "chiral" point for the spin-three, analogous to the spin-two example, which actually coincides with the usual spin-two chiral point. But in contrast to usual TMG, there is the presence of a non-trivial trace and its logarithmic partner at the chiral point. The trace modes carry energy opposite in sign to the traceless modes. The logarithmic partner of the traceless mode carries negative energy indicating an instability at the chiral point. We make several comments on the asymptotic symmetry and its possible deformations at this chiral point and speculate on the higher spin generalisation of LCFT2 dual to the spin-3 massive gravity at the chiral point.

34 pages, Latex, minor modifications, preprint numbers added

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Cited by in corpus (35)

• Minimal Model Holography
• Holographic entanglement entropy and gravitational anomalies
• Charged black hole with a scalar hair in (2+1) dimensions
• Holographic applications of logarithmic conformal field theories
• Towards non-AdS holography in 3-dimensional higher spin gravity
• Comments on Renyi entropy in AdS${}_3$/CFT${}_2$
• Conformal Chern-Simons holography - lock, stock and barrel
• The Coset Spin-4 Casimir Operator and Its Three-Point Functions with Scalars
• Spin-3 Topological Massive Gravity
• Partition Functions for Higher-Spin theories in AdS
• Exploring Three-dimensional Higher-Spin Supergravity based on sl(N |N - 1) Chern-Simons theories
• Gauge invariant Lagrangian formulation of massive higher spin fields in (A)dS_3 space
• Non-AdS holography in 3-dimensional higher spin gravity - General recipe and example
• One loop partition function for Topologically Massive Higher Spin Gravity
• Conical Defects in Higher Spin Theories
• Black holes in Truncated Higher Spin AdS${}_3$ Gravity
• The Primary Spin-4 Casimir Operators in the Holographic SO(N) Coset Minimal Models
• High Spin Topologically Massive Gravity
• One loop partition function in AdS_3/CFT_2
• Higher-derivative massive actions from dimensional reduction
• On the combinatorics of partition functions in AdS3/LCFT2
• Higher-spin gauge theories in three spacetime dimensions
• Classical Aspects of Higher Spin Topologically Massive Gravity
• Higher Spins in D=2+1
• Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence
• Moduli space of logarithmic states in critical massive gravities
• Spin-3 quasinormal modes of BTZ black hole
• Swampland Conjectures for an Almost Topological Gravity Theory
• Phase Structure of Higher Spin Black Holes
• New class of rotating perfect fluid black holes in three dimensional gravity
• Higher spin swampland conjecture for massive AdS${}_3$ gravity
• Logarithmic quasinormal modes of a spin-3 field around the BTZ black hole
• Asymptotic symmetries of three-dimensional higher-spin gravity: the metric approach
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect
• Spin-3 fields in Mielke-Baekler gravity