Spin-3 Topological Massive Gravity

Abstract

In this paper, we study the spin-3 topological massive gravity(TMG), paying special attention to its properties at the chiral point. We propose an action describing the high spin fields coupled to TMG. We discuss the spin-3 fluctuations around the AdS${}_3$ vacuum and find that there is an extra local massive mode, besides the left-moving and right-moving boundary massless modes. At the chiral point, such extra mode becomes massless and degenerates with the left-moving mode. We show that at the chiral point the only degrees of freedom in the theory are the boundary right-moving graviton and spin-3 field. We conjecture that spin-3 chiral gravity with Brown-Henneaux boundary condition is holographically dual to 2D chiral CFT with classical $W_3$ algebra and central charge $c_R=3l/G$.

19 pages. Arguments improved,references added, published version

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Cited by in corpus (33)

• Minimal Model Holography
• 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
• Topologically Massive Higher Spin Gravity
• 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
• Holographic Rényi entropy in AdS${}_3$/LCFT${}_2$ correspondence
• The Primary Spin-4 Casimir Operators in the Holographic SO(N) Coset Minimal Models
• High Spin Topologically Massive Gravity
• Unitarity Bounds in AdS_3 Higher Spin Gravity
• Zooming in on AdS${}_3$/CFT${}_2$ near a BPS Bound
• Solutions of Free Higher Spins in AdS
• 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
• Higher Spins in D=2+1
• Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence
• Classical Aspects of Higher Spin Topologically Massive Gravity
• 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
• Logarithmic quasinormal modes of a spin-3 field around the BTZ black hole
• Quasi-Local Conserved Charges of Spin-3 Topologically Massive Gravity
• Asymptotic symmetries of three-dimensional higher-spin gravity: the metric approach
• Spin-3 fields in Mielke-Baekler gravity