3D Flat Holography: Entropy and Logarithmic Corrections

Abstract

We compute the leading corrections to the Bekenstein-Hawking entropy of the Flat Space Cosmological (FSC) solutions in 3D flat spacetimes, which are the flat analogues of the BTZ black holes in AdS3. The analysis is done by a computation of density of states in the dual 2D Galilean Conformal Field Theory and the answer obtained by this matches with the limiting value of the expected result for the BTZ inner horizon entropy as well as what is expected for a generic thermodynamic system. Along the way, we also develop other aspects of holography of 3D flat spacetimes.

22 pages; v2: references updated

References in corpus (11)

• The BMS/GCA correspondence
• Galilean Conformal Algebras and AdS/CFT
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Flat-Space Chiral Gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Measurement of the charm fragmentation function in D* photoproduction at HERA
• Variational principle and 1-point functions in 3-dimensional flat space Einstein gravity
• A Grassmann Path From AdS_3 to Flat Space
• Topologically Massive Gravity and Galilean Conformal Algebra: A Study of Correlation Functions
• Beyond Logarithmic Corrections to Cardy Formula
• Desingularization of the Milne Universe

Cited by in corpus (52)

• Flat Holography: Aspects of the dual field theory
• Entanglement entropy in Galilean conformal field theories and flat holography
• Scattering Amplitudes: Celestial and Carrollian
• Field Theories with Conformal Carrollian Symmetry
• GUP-Corrected Thermodynamics for all Black Objects and the Existence of Remnants
• Magic Fermions: Carroll and Flat Bands
• Near-Horizon Geometry and Warped Conformal Symmetry
• Stress tensor correlators in three-dimensional gravity
• Variational principle and 1-point functions in 3-dimensional flat space Einstein gravity
• Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite $\sqrt{T\bar{T}}$ deformations
• Holographic Entanglement and Poincare blocks in three dimensional flat space
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• Galilean Conformal Electrodynamics
• Carroll covariant scalar fields in two dimensions
• Flat space (higher spin) gravity with chemical potentials
• Entanglement Wedge in Flat Holography and Entanglement Negativity
• Boosting to BMS
• From CFTs to theories with Bondi-Metzner-Sachs symmetries: Complexity and out-of-time-ordered correlators
• Flat Space Limit of (Higher-Spin) Cardy Formula
• Carroll fermions in two dimensions
• Gravitational anomalies, entanglement entropy, and flat-space holography
• Intrinsic Approach to $1+1$D Carrollian Conformal Field Theory
• Entanglement negativity in Galilean conformal field theories
• One-Loop Quantum Effects in Carroll Scalars
• Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space
• Free-field realisations of the BMS${}_3$ algebra and its extensions
• Boundary dynamics of asymptotically flat 3D gravity coupled to higher spin fields
• The complex null string, Galilean conformal algebra and scattering equations
• 2d Galilean Field Theories with Anisotropic Scaling
• Unitarity in three-dimensional flat space higher spin theories
• BMS Characters and Modular Invariance
• Log corrections to entropy of three dimensional black holes with soft hair
• Rindler/Contracted-CFT Correspondence
• Galilean contractions of $W$-algebras
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• How General Is Holography?
• Carrollian Yang-Mills Theory
• Black holes and thermodynamics - The first half century
• BMS Field Theories and Weyl Anomaly
• Symmetry Resolution in non-Lorentzian Field Theories
• BMS Modular Diaries: Torus one-point function
• Reflected entropy in Galilean conformal field theories and flat holography
• Flat space cosmologies in two dimensions - Phase transitions and asymptotic mass-domination
• Vacuum energy in asymptotically flat 2+1 gravity
• Odd entanglement entropy in Galilean conformal field theories and flat holography
• Logarithmic Correction to BMSFT Entanglement Entropy
• Phase Transition Between Flat Space Cosmology and Hot Flat Spacetimes in GMMG and EGMG Models
• 3D Gravity, Chern-Simons and Higher Spins: A Mini Introduction
• Universal sectors of two-dimensional Carrollian CFTs
• Entanglement Negativity in Flat Holography
• Carrollian superconformal theories and super BMS
• Maxwell Chern-Simons gravity in 3D: Thermodynamics of cosmological solutions and black holes with torsion