High Spin Topologically Massive Gravity

Abstract

We propose an action to describe high spin topologically massive gravity with a negative cosmological constant. With the frame-like fields and spin connections being combined into two gauge fields, the action includes two gauge field Chern-Simons actions with different levels, and also a linear term proportional to the difference of the gauge field strengths. Such linear term play the role of imposing the torsion free conditions for high spin fields. We discuss the gauge symmetry of this action and study the fluctuations around the AdS${}_3$ vacuum. We show how to relate the the fluctuations of the gauge field to the Frondal fields, using the gauge symmetry. For the gauge group $SL(n,R)\times SL(n,R)$, we find that the fluctuations of all high spin fields up to spin $n$ satisfy third order differential equations, and hence there generically exist massive traceless and trace mode for every spin.

15pages;slightly revision, references added

References in corpus (12)

• 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
• Warped AdS_3 Black Holes
• Symmetries of Holographic Minimal Models
• Higher Spins in AdS and Twistorial Holography
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Measurement of the charm fragmentation function in D* photoproduction at HERA
• Quantum W-symmetry in AdS_3
• Partition functions of higher spin black holes and their CFT duals
• Graviton 1-loop partition function for 3-dimensional massive gravity
• A spin-4 analog of 3D massive gravity
• Solutions of Free Higher Spins in AdS

Cited by in corpus (19)

• Minimal Model Holography
• Towards non-AdS holography in 3-dimensional higher spin gravity
• Conformal Chern-Simons holography - lock, stock and barrel
• The Coset Spin-4 Casimir Operator and Its Three-Point Functions with Scalars
• Aspects of Three-dimensional Spin-4 Gravity
• Gauge invariant Lagrangian formulation of massive higher spin fields in (A)dS_3 space
• New Unfolded Higher Spin Systems in $Ad{S}_3$
• Gravitational Anomalies in nAdS${}_2$/nCFT${}_1$
• One loop partition function in AdS_3/CFT_2
• On the combinatorics of partition functions in AdS3/LCFT2
• Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence
• Aspects of topologically gauged M2-branes with six supersymmetries: towards a "sequential AdS/CFT"?
• Classical Aspects of Higher Spin Topologically Massive Gravity
• Higher Spins in D=2+1
• Phase Structure of Higher Spin Black Holes
• New class of rotating perfect fluid black holes in three dimensional gravity
• D2 Chern-Simons Gravity
• Higher spin swampland conjecture for massive AdS${}_3$ gravity
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect