One loop partition function for Topologically Massive Higher Spin Gravity

Abstract

We calculate the one loop partition function for topologically massive higher spin gravity (TMHSG) for arbitrary spin by taking the spin-3 TMHSG action constructed in arXiv:1107.0915 and subsequently generalising it for an arbitrary spin. We find that the final result can be put into a product form which cannot be holomorphically factorized giving strong evidence that the topologically massive higher spin gravity is dual to a high spin extension of logarithmic CFT rather than a chiral one.

16 pages, latex, minor modifications, calculation for generic spins corrected. results qualitatively unchanged

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Cited by in corpus (23)

• Minimal Model Holography
• Holographic applications of logarithmic conformal field theories
• 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
• Partition Functions for Higher-Spin theories in AdS
• New Unfolded Higher Spin Systems in $Ad{S}_3$
• 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
• Unitarity Bounds in AdS_3 Higher Spin 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
• CFT(4) Partition Functions and the Heat Kernel on AdS(5)
• Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence
• Classical Aspects of Higher Spin Topologically Massive Gravity
• Higher Spins in D=2+1
• Swampland Conjectures for an Almost Topological Gravity Theory
• Moduli space of logarithmic states in critical massive gravities
• Phase Structure of Higher Spin Black Holes
• Higher Spin de Sitter Quantum Gravity