On the Generalized Massive Gravity in $Ad{S}_3$

Abstract

In this note we investigate the generalized massive gravity in asymptotically $Ad{S}_3$ spacetime by combining the two mass terms of topological massive gravity and new massive gravity theory. We study the linearized excitations around the $Ad{S}_3$ background and find that at a specific value of a certain combination of the two mass parameters (chiral line), one of the massive graviton solutions becomes the left moving massless mode. It is shown that the theory is chiral at this line under Brown-Henneaux boundary condition. Because of this degeneration of the gravitons the new log solution which has a logarithmic asymptotic behavior is also a solution to this gravity theory at the chiral line. The log boundary condition which was proposed to accommodate this log solution is proved to be consistent at this chiral line. The resulting theory is no longer chiral except at a special point on the chiral line, where another new solution with log-square asymptotic behavior exists. At this special point, we prove that a new kind of boundary condition called log-square boundary condition, which accommodates this new solution, can be consistent.

22 pages, no figure; v2, references added, to appear in PRD

References in corpus (58)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Massive Gravity in Three Dimensions
• The Kerr/CFT Correspondence
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• Local BRST cohomology in gauge theories
• Energy in Generic Higher Curvature Gravity Theories
• Chiral Gravity in Three Dimensions
• Three-Dimensional Gravity Revisited
• Warped AdS_3 Black Holes
• Gravitational Energy in Quadratic Curvature Gravities
• Local BRST cohomology in the antifield formalism: I. General theorems
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Surface charge algebra in gauge theories and thermodynamic integrability
• Instability in cosmological topologically massive gravity at the chiral point
• Black holes and asymptotics of 2+1 gravity coupled to a scalar field
• Black hole mass and angular momentum in topologically massive gravity
• Chiral Gravity, Log Gravity and Extremal CFT
• Cosmological Topologically Massive Gravitons and Photons
• Black Holes with Scalar Hair and Asymptotics in N=8 Supergravity
• Semi-classical central charge in topologically massive gravity
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Topologically Massive AdS Gravity
• Asymptotically Anti-de Sitter spacetimes and scalar fields with a logarithmic branch
• Boundary charges in gauge theories: using Stokes theorem in the bulk
• On Unitarity of Massive Gravity in Three Dimensions
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Note on New Massive Gravity in $Ad{S}_3$
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Energy in Topologically Massive Gravity
• The General Supersymmetric Solution of Topologically Massive Supergravity
• Consistent Boundary Conditions for New Massive Gravity in $Ad{S}_3$
• Exploring AdS Waves Via Nonminimal Coupling
• Asymptotic conservation laws in field theory
• The Constraint Algebra of Topologically Massive AdS Gravity
• Consistent boundary conditions for cosmological topologically massive gravity at the chiral point
• Brown-Henneaux's Canonical Approach to Topologically Massive Gravity
• Symmetries and conservation laws in Lagrangian gauge theories with applications to the mechanics of black holes and to gravity in three dimensions
• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• pp Waves of Conformal Gravity with Self-Interacting Source
• Topologically Massive Gravity at the Chiral Point is Not Unitary
• Energy Bounds in Designer Gravity
• Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
• Canonical structure of topologically massive gravity with a cosmological constant
• A Simple Proof of the Chiral Gravity Conjecture
• Quasi-Normal Modes in Topologically Massive Gravity
• Canonical analysis of cosmological topologically massive gravity at the chiral point
• Constraint Dynamics and Gravitons in Three Dimensions
• Massive Gravity with Mass Term in Three Dimensions
• Comment on "Cosmological Topological Massive Gravitons and Photons"
• BTZ Black Hole with Higher Derivatives, the Second Law of Thermodynamics, and Statistical Entropy: A New Proposal
• Logarithmic conformal field theory approach to topologically massive gravity
• Absorption Cross Section in Warped AdS${}_3$ Black Hole
• Quasi-Normal Modes for Logarithmic Conformal Field Theory
• Thermodynamics of warped AdS${}_3$ black hole in the brick wall method
• Quasinormal modes for topologically massive black hole

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• Unitarity versus Renormalizability of Higher Derivative Gravity in 3D
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• Massive 3D Gravity Big-Bounce
• Non-Fefferman-Graham asymptotics and holographic renormalization in New Massive Gravity
• Unitarity of Weyl-Invariant New Massive Gravity and Generation of Graviton Mass via Symmetry Breaking
• Thermodynamics of 2+1 dimensional Coulomb-Like Black Holes from Non Linear Electrodynamics with a traceless energy momentum tensor
• Energy of asymptotically AdS black holes in Exotic Massive Gravity and its log-extension
• Motion and trajectories of photons in a three-dimensional rotating Hořava AdS black hole
• Hamiltonian formalism of Minimal Massive Gravity
• Renormalizability of Topologically Massive Gravity
• Quasinormal modes around the BTZ black hole at the tricritical generalized massive gravity
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• On unitary subsectors of polycritical gravities
• Solutions of massive gravity theories in constant scalar invariant geometries
• Rank-3 finite temperature logarithmic conformal field theory
• Generalized Massive Gravity and Galilean Conformal Algebra in two dimensions
• Stability of the massive graviton around a BTZ black hole in three dimensions
• Critical points of WAdS/CFT and higher-curvature gravity
• A massive graviton in topologically new massive gravity
• Tricritical gravity waves in the four-dimensional generalized massive gravity