Conformal Chern-Simons holography - lock, stock and barrel

Abstract

We discuss a fine-tuning of rather generic three dimensional higher-curvature gravity actions that leads to gauge symmetry enhancement at the linearized level via partial masslessness. Requiring this gauge symmetry to be present also non-linearly reduces such actions to conformal Chern-Simons gravity. We perform a canonical analysis of this theory and construct the gauge generators and associated charges. We provide and classify admissible boundary conditions. The boundary conditions on the conformal equivalence class of the metric render one chirality of the partially massless Weyl gravitons normalizable and the remaining one non-normalizable. There are three choices - trivial, fixed or free - for the Weyl factors of the bulk metric and of the boundary metric. This proliferation of boundary conditions leads to various physically distinct scenarios of holography that we study in detail, extending considerably the discussion initiated in 1106.6299. In particular, the dual CFT may contain an additional scalar field with or without background charge, depending on the choices above.

67 pages. v2: Corrected typos, added references. Matches published version

References in corpus (26)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Massive Gravity in Three Dimensions
• Three-Dimensional Gravity Revisited
• More on Massive 3D Gravity
• Critical Gravity in Four Dimensions
• Einstein Gravity from Conformal Gravity
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Ghost-free, finite, fourth order D=3 (alas) gravity
• Born-Infeld extension of new massive gravity
• Holography for Schrodinger backgrounds
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• New massive gravity, extended
• On the Generalized Massive Gravity in $Ad{S}_3$
• Graviton 1-loop partition function for 3-dimensional massive gravity
• Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
• Erratum to `Instability in cosmological topologically massive gravity at the chiral point', arXiv:0805.2610
• Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity
• Warped black holes in 3D general massive gravity
• Static spherically symmetric solutions for conformal gravity in three dimensions
• High Spin Topologically Massive Gravity
• Hamiltonian analysis of BHT massive gravity
• Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity
• Generalised massive gravity one-loop partition function and AdS/(L)CFT
• Extra gauge symmetries in BHT gravity
• Effective Action, Boundary Conditions, and Virasoro Algebra for AdS${}_3$

Cited by in corpus (45)

• Flat-Space Chiral Gravity
• Soft Heisenberg hair on black holes in three dimensions
• Conformal gravity holography in four dimensions
• Holographic applications of logarithmic conformal field theories
• Towards non-AdS holography in 3-dimensional higher spin gravity
• On matter-free Higher Spin Gravities in 3d: (partially)-massless fields and general structure
• On the Hamiltonian form of 3D massive gravity
• Asymptotic symmetries of three-dimensional Chern-Simons gravity for the Maxwell algebra
• New Conformal Higher Spin Gravities in $3d$
• Entanglement Wedge in Flat Holography and Entanglement Negativity
• Asymptotic Symmetries in $p$-Form Theories
• Thermodynamic geometry and interacting microstructures of BTZ black holes
• Chiral Massive News: Null Boundary Symmetries in Topologically Massive Gravity
• New Unfolded Higher Spin Systems in $Ad{S}_3$
• Flat/AdS boundary conditions in three dimensional conformal gravity
• Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space
• Spectral Flow in 3D Flat Spacetimes
• Looking for partially-massless gravity
• Counterterms, critical gravity and holography
• The (super)conformal BMS${}_3$ algebra
• Iterating free-field AdS/CFT: higher spin partition function relations
• Canonical bifurcation in higher derivative, higher spin, theories
• On Partially Massless Theory in 3 Dimensions
• Conserved charges, surface degrees of freedom, and black hole entropy
• Weyl-gauging of Topologically Massive Gravity
• Asymptotic Symmetries of Maxwell Chern-Simons Gravity with Torsion
• Semi-classical unitarity in 3-dimensional higher-spin gravity for non-principal embeddings
• On asymptotic charges in 3D gravity
• Beta Functions of Topologically Massive Supergravity
• Logarithmic AdS Waves and Zwei-Dreibein Gravity
• Holographic Two-Point Functions in Conformal Gravity
• Canonical charges and asymptotic symmetry algebra of conformal gravity
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• Lobachevsky holography in conformal Chern-Simons gravity
• Siklos waves with torsion in 3D
• The Hamiltonian Form of Topologically Massive Supergravity
• A Noncompact Weyl-Einstein-Yang-Mills Model: A Semiclassical Quantum Gravity
• Asymptotic Symmetry Algebras in Non-Anti-de-Sitter Higher-Spin Gauge Theories
• Aspects of topologically gauged M2-branes with six supersymmetries: towards a "sequential AdS/CFT"?
• More on Cotton Flow
• Statistical entropy of a BTZ black hole in topologically massive gravity
• Fake gaps in AdS_3/CFT_2
• Some properties of the de Sitter black holes in three dimensional spacetime
• Notes on su$(1,2)\oplus$u$(1)$ Chern-Simons theory and Torsional Newton-Cartan gravity
• Causality Constraint on Noncritical Einstein-Weyl Gravity