Aspects of Flat/CCFT Correspondence

Abstract

Flat/CCFT is a correspondence between gravity in asymptotically flat backgrounds and a field theory which is given by contraction of conformal field theory. In order to find a dictionary for Flat/CCFT correspondence one can start from the AdS/CFT and take the contraction of CFT in the boundary as the dual description of the flat-space limit (zero cosmological constant limit) of the asymptotically AdS spacetimes in the bulk side. In this paper we show that the Cardy-like formula of CCFT_2 is given by contraction of a proper formula in the CFT_2. This formula is the modified Cardy formula which gives the entropy of inner horizon of BTZ black holes.

arXiv comment18 pages, V2: Shortened and published version

References in corpus (29)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Aspects of the BMS/CFT correspondence
• Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• The BMS/GCA correspondence
• A New Cosmological Scenario in String Theory
• Holography of 3d Flat Cosmological Horizons
• The flat limit of three dimensional asymptotically anti-de Sitter spacetimes
• BMS/GCA Redux: Towards Flatspace Holography from Non-Relativistic Symmetries
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
• On the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a Compact Cauchy Horizon
• Warped Conformal Field Theory
• GCA in 2d
• Higher spin theory in 3-dimensional flat space
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• On Representations and Correlation Functions of Galilean Conformal Algebras
• Universal properties and the first law of black hole inner mechanics
• No Black Hole Theorem in Three-Dimensional Gravity
• Inner Mechanics of 3d Black Holes
• Cosmic evolution from phase transition of 3-dimensional flat space
• Variational principle and 1-point functions in 3-dimensional flat space Einstein gravity
• A Grassmann Path From AdS_3 to Flat Space
• Flat-Space Energy-Momentum Tensor from BMS/GCA Correspondence
• Galilean Conformal Electrodynamics
• Flat Space Limit of (Higher-Spin) Cardy Formula
• Topologically Massive Gravity and Galilean Conformal Algebra: A Study of Correlation Functions
• Aspects of the zero $\Lambda$ limit in the AdS/CFT correspondence
• Rindler/Contracted-CFT Correspondence

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• Flat Holography: Aspects of the dual field theory
• Entanglement Entropy in Flat Holography
• Soft hairy horizons in three spacetime dimensions
• Near-Horizon Geometry and Warped Conformal Symmetry
• Stress tensor correlators in three-dimensional gravity
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• Carroll covariant scalar fields in two dimensions
• Boosting to BMS
• From CFTs to theories with Bondi-Metzner-Sachs symmetries: Complexity and out-of-time-ordered correlators
• Generalizing the ${\mathfrak{bms}}_3$ and 2D-conformal algebras by expanding the Virasoro algebra
• Local quantum energy conditions in non-Lorentz-invariant quantum field theories
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• Spectral Flow in 3D Flat Spacetimes
• BMS Characters and Modular Invariance
• Linking Past and Future Null Infinity in Three Dimensions
• BMS Field Theories and Weyl Anomaly
• Symmetry Resolution in non-Lorentzian Field Theories
• BMS Modular Diaries: Torus one-point function
• Vacuum energy in asymptotically flat 2+1 gravity
• Kaluza-Klein reductions and AdS/Ricci-flat correspondence
• Logarithmic Correction to BMSFT Entanglement Entropy
• Remarks on BMS${}_3$ invariant field theories: correlation functions and nonunitary CFTs
• Asymptotic symmetries in Carrollian theories of gravity
• Flat-space Limit of Extremal Curves