Bulk reconstruction in 2D multi-horizon black hole

TL;DR

This paper extends the bulk reconstruction program to an Achucarro-Ortiz black hole, deriving analytic boundary representations for massless fields and mirror operators inside and outside the black hole.

Contribution

It provides the first analytic expressions for smearing functions and mirror operators in this specific black hole spacetime.

Findings

Derived explicit smearing functions for the black hole exterior and interior.

Obtained analytic expressions for Papadodimas-Raju mirror operators.

Extended the bulk reconstruction framework to a new black hole geometry.

Abstract

The goal of the bulk reconstruction program is to construct boundary representations of fields in asymptotically Anti-de Sitter spacetimes. In this paper, we extend the program by computing the boundary representation of massless fields in an Achucarro-Ortiz black hole spacetime. We obtain analytic expressions for smearing functions in both the exterior and interior of the black hole. We also obtain expressions for Papadodimas-Raju mirror operators.