Behind the geon horizon

TL;DR

This paper examines the reconstruction of the black hole interior behind the horizon in AdS/CFT using the Papadodimas-Raju approach, focusing on the RP^2 geon as a simple example, and finds that mirror operators are surprisingly straightforward.

Contribution

It provides a concrete example where mirror operators behind the horizon are explicitly identified and simple, enhancing understanding of black hole interior reconstruction.

Findings

Mirror of late-time operator equals early-time operator in the RP^2 geon

Explicit examples show how state changes affect interior geometry

Simplifies the understanding of the Papadodimas-Raju prescription in this context

Abstract

We explore the Papadodimas-Raju prescription for reconstructing the region behind the horizon of one-sided black holes in AdS/CFT in the case of the RP^2 geon - a simple, analytic example of a single-sided, asymptotically AdS_3 black hole, which corresponds to a pure CFT state that thermalises at late times. We show that in this specific example, the mirror operators involved in the reconstruction of the interior have a particularly simple form: the mirror of a single trace operator at late times is just the corresponding single trace operator at early times. We use some explicit examples to explore how changes in the state modify the geometry inside the horizon.