Minimal Massive 3D Gravity

Abstract

We present an alternative to Topologically Massive Gravity (TMG) with the same "minimal" bulk properties; i.e. a single local degree of freedom that is realized as a massive graviton in linearization about an anti-de Sitter (AdS) vacuum. However, in contrast to TMG, the new "minimal massive gravity" has both a positive energy graviton and positive central charges for the asymptotic AdS-boundary conformal algebra.

21 pages. v2 includes additional references and an extended discussion of the unusual features of the MMG equation. Typos corrected in v3 and a "note added" concerning matter coupling. More sign corrections in v4 plus additional "note added"

References in corpus (9)

• Massive Gravity in Three Dimensions
• More on Massive 3D Gravity
• Cosmological Topologically Massive Gravitons and Photons
• Topologically Massive AdS Gravity
• On the new massive gravity and AdS/CFT
• New massive gravity, extended
• On the Hamiltonian form of 3D massive gravity
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Cited by in corpus (95)

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• Conserved Charges in Extended Theories of Gravity
• The Heisenberg algebra as near horizon symmetry of the black flower solutions of Chern-Simons-like theories of gravity
• The Third Way to 3D Gravity
• On Complexity Growth in Minimal Massive 3D Gravity
• Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
• Causality in 3D Massive Gravity Theories
• Higher Derivative Supergravities in Diverse Dimensions
• Most general theory of 3d gravity: Covariant phase space, dual diffeomorphisms, and more
• Near Horizon Symmetries of the Non-Extremal Black Hole Solutions of Generalized Minimal Massive Gravity
• Black hole conserved charges in Generalized Minimal Massive Gravity
• On 3D Minimal Massive Gravity
• Black hole entropy in the Chern-Simons-like theories of gravity and Lorentz-diffeomorphism Noether charge
• Three-dimensional non-relativistic extended supergravity with cosmological constant
• Minimal Log Gravity
• Yang-Mills as massive Chern-Simons theory: a third way to three-dimensional gauge theories
• The entropy formula of black holes in Minimal Massive Gravity and its application for BTZ black holes
• Interacting spin-2 fields in three dimensions
• On the Butterfly Effect in 3D Gravity
• Black holes and gravitational waves in three-dimensional f(R) gravity
• On Exact Solutions and the Consistency of 3D Minimal Massive Gravity
• Bulk and Boundary Unitary Gravity in 3D: MMG${}_2$
• Exotic massive 3D gravities from truncation
• On asymptotic charges in 3D gravity
• Asymptotically flat black holes in 2+1 dimensions
• Bachian Gravity in Three Dimensions
• Gravity Waves in Three Dimensions
• Lorentz-diffeomorphism Conserved Charges And Virasoro Algebra In Chern-Simons-Like Theories Of Gravity
• Unitarity Problems in 3$D$ Gravity Theories
• Soft hairy warped black hole entropy
• Vacua of Exotic Massive 3D Gravity
• General formulas for conserved charges and black hole entropy in Chern-Simons-like theories of gravity
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• Kundt solutions of Minimal Massive 3D Gravity
• Energy of asymptotically AdS black holes in Exotic Massive Gravity and its log-extension
• Linearization Instability for Generic Gravity in AdS
• The Third Way to Interacting $p$-form Theories
• Homogeneous Solutions of Minimal Massive 3D Gravity
• Unitary Extension of Exotic Massive 3D Gravity from Bi-gravity
• More on vacua of exotic massive 3D gravity
• The Holographic c-theorem and Infinite-dimensional Lie Algebras
• New Improved Massive Gravity and Three Dimensional Spacetimes of Constant Curvature and Constant Torsion
• Nonlocal Massive Gravity from Einstein Gravity
• Metric formulation of the simple theory of 3d massive gravity
• Hamiltonian formalism of Minimal Massive Gravity
• Holographic Entanglement negativity in flat space generalized minimal massive gravity
• Quasinormal modes and black hole hairs in AdS
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• Thermodynamic Stability of the Stationary Lifshitz Black Hole of New Massive Gravity
• Supersymmetric Solutions of N = (1,1) General Massive Supergravity
• Holographically Viable Extensions of Topologically Massive and Minimal Massive Gravity?
• On Stabilization of Maxwell-BMS Algebra
• Warped $Ad{S}_3$ black hole in minimal massive gravity with first order formalism
• Holographic Renormalization of 3D Minimal Massive Gravity
• Minimal Massive Supergravity
• Holographic Entanglement Entropy in $T\bar{T}$-deformed CFTs
• A remarkably simple theory of 3d massive gravity
• The Third way to 3D Supersymmetric Massive Yang-Mills Theory
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• New Bi-Gravity from New Massive Garvity
• Evanescent gravitons in Warped Anti-de Sitter space
• A Review of Third Way Consistent Theories
• Phase Transition Between Flat Space Cosmology and Hot Flat Spacetimes in GMMG and EGMG Models
• Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model
• A note on the third way consistent deformation of Yang-Mills theory
• Central charges from Thermodynamics method in 3D gravity
• Exotic Massive Gravity: Causality and a Birkhoff-like Theorem
• New Chiral Generalized Minimal Massive Gravity
• Matter coupling in Minimal Massive 3D Gravity and spinor-matter interactions in exterior algebra formalism
• Weyl-Lorentz-U(1)-invariant symmetric teleparallel gravity in three dimensions
• Three-dimensional $\mathrm{SL}(2,\mathbb{R})$ Yang-Mills theory is three-dimensional gravity with background sources
• Global and local thermodynamics of the (2+1)-dimensional rotating Gauss-Bonnet black hole
• Hairy Black holes in General Minimal Massive Gravity
• The Variational Field Equations of Cosmological Topologically Massive Supergravity
• Unitarity Flow in 2+1 Dimensional Massive Gravity
• Critical points of the Exotic Massive 3D Gravity
• Weyl Covariant Quadratic Curvature Gravity in 3-Dimensional Riemann-Cartan-Weyl Space-Times
• Solutions with pure radiation and gyratons in 3D massive gravity theories
• Chern-Simons-Like Formulation of Exotic Massive 3D Gravity Models
• Three-dimensional non-relativistic Hietarinta supergravity
• On the new version of Generalized Zwei-Dreibein Gravity
• Perturbative Unitarity Calls for An Action
• Non-linear regime of the Generalized Minimal Massive Gravity in critical points
• Nonlinear realisation approach to topologically massive supergravity
• Hamiltonian structure of three-dimensional gravity in Vielbein formalism
• First Law of Inner Mechanics of Black Holes in Generalized Minimal Massive Gravity
• Brief Note on Thurston Geometries in 3D Quadratic Curvature Theories
• Canonical description of Exotic General Massive Gravity
• A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory
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• Aspects of three-dimensional higher-curvature gravities