Flat Space Limit of (Higher-Spin) Cardy Formula

Abstract

In this note I derive the flat space limit of the modified Cardy formula associated with inner horizons and show that it reproduces the correct Galilean conformal field theory counting of flat space cosmology microstates. l also determine the entropy of flat space cosmologies in flat space chiral gravity in this way. In addition, I derive a Cardy-like expression for flat space cosmologies with spin-3 charges and thus give a prediction for the corresponding Galilean conformal field theory counting of flat space cosmology microstates with spin-3 charges.

References in corpus (20)

• The World as a Hologram
• Black Hole Entropy from Near-Horizon Microstates
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• The BMS/GCA correspondence
• Galilean Conformal Algebras and AdS/CFT
• 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
• Spacetime Geometry in Higher Spin Gravity
• Flat-Space Chiral Gravity
• Higher spin theory in 3-dimensional flat space
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• Universal properties and the first law of black hole inner mechanics
• Inner Mechanics of 3d Black Holes
• 3D Flat Holography: Entropy and Logarithmic Corrections
• Cosmic evolution from phase transition of 3-dimensional flat space
• A Grassmann Path From AdS_3 to Flat Space
• Unitarity in three-dimensional flat space higher spin theories

Cited by in corpus (24)

• Flat Holography: Aspects of the dual field theory
• Entanglement entropy in Galilean conformal field theories and flat holography
• Soft hairy horizons in three spacetime dimensions
• Stress tensor correlators in three-dimensional gravity
• Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite $\sqrt{T\bar{T}}$ deformations
• A Tale of Three. Tensionless strings and vacuum structure
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• Geometric actions and flat space holography
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Higher-Spin Flat Space Cosmologies with Soft Hair
• Local quantum energy conditions in non-Lorentz-invariant quantum field theories
• Aspects of Flat/CCFT Correspondence
• Spectral Flow in 3D Flat Spacetimes
• BMS Characters and Modular Invariance
• Holography of 3D Asymptotically Flat Black Holes
• Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity
• Linking Past and Future Null Infinity in Three Dimensions
• BMS Modular Diaries: Torus one-point function
• Circuit Complexity for Carrollian Conformal (BMS) Field Theories
• Logarithmic Correction to BMSFT Entanglement Entropy
• Flat-space Limit of Extremal Curves
• 3D Gravity, Chern-Simons and Higher Spins: A Mini Introduction
• Universal sectors of two-dimensional Carrollian CFTs
• Maxwell Chern-Simons gravity in 3D: Thermodynamics of cosmological solutions and black holes with torsion