Proper time to singularity and thermal correlators

TL;DR

This paper investigates how higher point thermal correlators in holographic CFTs encode information about the proper time to singularity, using WKB and saddle point methods for analysis.

Contribution

It introduces a method to extract the proper time to singularity from thermal correlators in holographic theories using semiclassical approximations.

Findings

Thermal correlators reveal signatures of the proper time to singularity.

WKB approximation effectively captures the correlator behavior near the horizon.

Saddle point evaluation simplifies the analysis of bulk integrals.

Abstract

We study certain higher point thermal correlators of heavy and light scalar primaries in a holographic CFT. Assuming simple self-interactions and couplings of the scalars in the bulk theory, we show that the thermal correlators contain a signature of the proper time to singularity from the horizon. The key idea is to use WKB approximations for the propagators and evaluate the bulk integrals using saddle point method.