Hologram of a pure state black hole

TL;DR

This paper extends holographic reconstruction methods to analyze the locality and information properties of pure state black holes formed by collapse, using dual CFTs with quenches, revealing insights into black hole information paradox.

Contribution

It introduces a coarse-graining approach to define approximately local bulk observables in a collapsing black hole background from the dual CFT, considering finite N effects.

Findings

Constructed local bulk operators in the semiclassical limit

Proposed a coarse-graining method for finite N effects

Implications for black hole information problem

Abstract

In this paper we extend the HKLL holographic smearing function method to reconstruct (quasi)local AdS bulk scalar observables in the background of a large AdS black hole formed by null shell collapse (a "pure state" black hole), from the dual CFT which is undergoing a sudden quench. In particular, we probe the near horizon and sub-horizon bulk locality. First we construct local bulk operators from the CFT in the leading semiclassical limit, $N\rightarrow\infty$. Then we look at effects due to the finiteness of $N$, where we propose a suitable coarse-graining prescription involving early and late time cut-offs to define semiclassical bulk observables which are approximately local; their departure from locality being non-perturbatively small in $N$. Our results have important implications on the black hole information problem.