Correlation functions in finite temperature CFT and black hole singularities

Abstract

We compute thermal 2-point correlation functions in the black brane $Ad{S}_5$ background dual to 4d CFT's at finite temperature for operators of large scaling dimension. We find a formula that matches the expected structure of the OPE. It exhibits an exponentiation property, whose origin we explain. We also compute the first correction to the two-point function due to graviton emission, which encodes the proper time from the event horizon to the black hole singularity.

arXiv comment25 pages. (References added)

References in corpus (35)

• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Implications of Conformal Invariance in Field Theories for General Dimensions
• Coupling Constant Dependence in the Thermodynamics of N=4 Supersymmetric Yang-Mills Theory
• Universality of Long-Distance AdS Physics from the CFT Bootstrap
• An Infalling Observer in AdS/CFT
• The Black Hole Singularity in AdS/CFT
• Holographic Thermalization
• Holographic Particle Detection
• Emergent Spacetime and Holographic CFTs
• Inside the Horizon with AdS/CFT
• AdS/CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM
• On geodesic propagators and black hole holography
• Local bulk operators in AdS/CFT: A holographic description of the black hole interior
• Bulk and Transhorizon Measurements in AdS/CFT
• The Conformal Bootstrap at Finite Temperature
• The Epsilon Expansion Meets Semiclassics
• On correlation functions of operators dual to classical spinning string states
• Proper time to the black hole singularity from thermal one-point functions
• Holographic Reformulation of String Theory on AdS_5 x S^5 background in the PP-wave limit
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• Universal Lowest-Twist in CFTs from Holography
• Universal correlation functions in rank 1 SCFTs
• The large charge limit of scalar field theories and the Wilson-Fisher fixed point at $\epsilon =0$
• A light-cone approach to three-point functions in AdS_5 x S^5
• Subleading Eikonal, AdS/CFT and Double Stress Tensors
• Semi-classical Virasoro blocks: proof of exponentiation
• Probing Universalities in d>2 CFTs: from Black Holes to Shockwaves
• Black holes and universality classes of critical points
• Holographic three-point functions for short operators
• Semiclassical correlators of three states with large S^5 charges in string theory in AdS_5 x S^5
• Singularities of thermal correlators at strong coupling
• AdS black holes as reflecting cavities
• Model-Dependence of Minimal-Twist OPEs in $d>2$ Holographic CFTs
• Correlation functions in scalar field theory at large charge
• Accessing Large Global Charge via the $\epsilon$-Expansion

Cited by in corpus (24)

• Krylov complexity in conformal field theory
• Thermal Stress Tensor Correlators, OPE and Holography
• Thermal correlation functions in CFT and factorization
• Exact thermal correlators of holographic $CFT$s
• Thermal one point functions, large $d$ and interior geometry of black holes
• Kasner interiors from analytic hairy black holes
• An embedding formalism for CFTs in general states on curved backgrounds
• Holographic thermal correlators revisited
• Boundary signature of singularity in the presence of a shock wave
• Shock waves, black hole interiors and holographic RG flows
• Holographic Thermal Correlators for Hyperbolic $CFT$s
• Holographic correlation functions at finite density and/or finite temperature
• Tidal excitation as mixing in thermal CFT
• Freedom near Lightcone and ANEC Saturation
• Approximate Symmetries in $d=4$ CFTs with an Einstein Gravity Dual
• Holographic thermal propagator for arbitrary scale dimensions
• The generalized holographic $c$-function for regular AdS black holes
• Resummation of Multi-Stress Tensors in Higher Dimensions
• Finite Temperature at Finite Places
• Proper time to singularity and thermal correlators
• A holographic realization of correlation and mutual information
• Correlation functions in expanding universes
• Circular strings in Kerr-$Ad{S}_5$ black holes
• Holographic thermal propagator from modularity