Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space

Abstract

In this paper we present a new set of asymptotic boundary conditions for Einstein gravity in 2+1 dimensions with vanishing cosmological constant that are a generalization of the Barnich-Comp{è}re boundary conditions gr-qc/0610130. These new boundary conditions lead to an asymptotic symmetry algebra that is generated by a ${\mathfrak{bms}}_3$ algebra and two affine $\hat{\mathfrak{u}}(1)$ current algebras. We then apply these boundary conditions to Topologically Massive Gravity (TMG) and determine how the presence of the gravitational Chern-Simons term affects the central extensions of the asymptotic symmetry algebra. We furthermore determine the thermal entropy of solutions obeying our new boundary conditions for both Einstein gravity and TMG.

arXiv comment10 pages; v2: minor typos corrected & added references

References in corpus (56)

• The Black Hole in Three Dimensional Space Time
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Geometry of the 2+1 Black Hole
• Massive Gravity in Three Dimensions
• Aspects of the BMS/CFT correspondence
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• A New Cosmological Scenario in String Theory
• Supertranslations and Superrotations at the Black Hole Horizon
• Holography of 3d Flat Cosmological Horizons
• Asymptotic Structure of Symmetry Reduced General Relativity
• Higher Spin Black Holes
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Black holes and asymptotics of 2+1 gravity coupled to a scalar field
• Black hole mass and angular momentum in topologically massive gravity
• Entanglement entropy in Galilean conformal field theories and flat holography
• Spacetime Geometry in Higher Spin Gravity
• Wilson Lines and Entanglement Entropy in Higher Spin Gravity
• New Boundary Conditions for AdS3
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Flat-Space Chiral Gravity
• Soft Heisenberg hair on black holes in three dimensions
• Semi-classical central charge in topologically massive gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Time-dependent Orbifolds and String Cosmology
• On the new massive gravity and AdS/CFT
• Holography with Gravitational Chern-Simons Term
• Higher spin theory in 3-dimensional flat space
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• Most general AdS_3 boundary conditions
• Symplectic and Killing Symmetries of AdS${}_3$ Gravity: Holographic vs Boundary Gravitons
• Enhanced asymptotic symmetry algebra of AdS3
• Thermodynamics of Higher Spin Black Holes in AdS${}_3$
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• Energy in Topologically Massive Gravity
• Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity
• Soft hairy horizons in three spacetime dimensions
• Boundary conditions for General Relativity on AdS${}_3$ and the KdV hierarchy
• A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds
• Entanglement Entropy and Higher Spin Holography in AdS${}_3$
• Near-Horizon Geometry and Warped Conformal Symmetry
• Higher spin gravity in 3D: black holes, global charges and thermodynamics
• Consistent boundary conditions for cosmological topologically massive gravity at the chiral point
• 3D Flat Holography: Entropy and Logarithmic Corrections
• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• Cosmic evolution from phase transition of 3-dimensional flat space
• Higher spin black hole entropy in three dimensions
• A Grassmann Path From AdS_3 to Flat Space
• An sl(2, R) current algebra from AdS_3 gravity
• Conformal Chern-Simons holography - lock, stock and barrel
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• The Heisenberg algebra as near horizon symmetry of the black flower solutions of Chern-Simons-like theories of gravity
• Flat/AdS boundary conditions in three dimensional conformal gravity
• BTZ Black Hole with Higher Derivatives, the Second Law of Thermodynamics, and Statistical Entropy: A New Proposal
• Asymptotically locally flat spacetimes and dynamical black flowers in three dimensions
• Near Horizon Symmetries of the Non-Extremal Black Hole Solutions of Generalized Minimal Massive Gravity
• Poisson Structure of the Boundary Gravitons in 3D Gravity with Negative $\Lambda$

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• Asymptotic structure of $\mathcal{N}=2$ supergravity in 3D: extended super-BMS${}_3$ and nonlinear energy bounds
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• Holographic Lorentz and Carroll Frames
• Generalizing the ${\mathfrak{bms}}_3$ and 2D-conformal algebras by expanding the Virasoro algebra
• Conserved Charges in Extended Theories of Gravity
• Asymptotically flat spacetimes with BMS${}_3$ symmetry
• Spectral Flow in 3D Flat Spacetimes
• Three-dimensional Poincaré supergravity and $\mathcal{N}$-extended supersymmetric BMS${}_3$ algebra
• Semi-simple enlargement of the ${\mathfrak{bms}}_3$ algebra from a $\mathfrak{so}(2,2)\oplus \mathfrak{so}(2,1)$ Chern-Simons theory
• On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
• Asymptotic Symmetries of Maxwell Chern-Simons Gravity with Torsion
• New boundary conditions for (extended) ${\mathrm{AdS}}_3$ supergravity
• Enhanced asymptotic $BM{S}_3$ algebra of the flat spacetime solutions of generalized minimal massive gravity
• Thomas Precession for Dressed Particles
• Warped Flatland
• Phase Transition Between Flat Space Cosmology and Hot Flat Spacetimes in GMMG and EGMG Models
• Fefferman-Graham and Bondi Gauges in the Fluid/Gravity Correspondence
• AdS${}_3$ Carroll gravity: asymptotic symmetries and C-thermal configurations