Extracting Data from Behind Horizons with the AdS/CFT Correspondence

TL;DR

This paper investigates how boundary correlators in AdS/CFT can reveal information about the black hole singularity by analyzing perturbations near the horizon and their signatures in boundary data.

Contribution

It demonstrates the signatures of the singularity in boundary correlators and explains their origins through analyticity and Euclidean path integral methods.

Findings

Boundary correlators can probe near-singularity regions.

Perturbations near the singularity significantly affect boundary correlators.

Analyticity arguments connect boundary effects to Euclidean bulk descriptions.

Abstract

Recent work has shown that boundary correlators in AdS-Schwarzschild can probe the geometry near the singularity. In this paper we aim to analyze the specific signatures of the singularity, show how significant they can be, and uncover the origins of these large effects in explicitly outside the horizon descriptions. We add perturbations to the metric localized near the singularity and explore their effects on the boundary correlators. Then we use analyticity arguments to show how this information arises from the Euclidean path integral of a free scalar field in the bulk.