Real-Time Holography and Hybrid WKB for BTZ Wormholes

TL;DR

This paper investigates scalar correlation functions in a Solodukhin wormhole model of the BTZ black hole using real-time holography and hybrid WKB methods, providing insights into microstate geometries and their correlations.

Contribution

It introduces a combined holographic and WKB approach to analyze scalar correlators in wormhole geometries, advancing understanding of microstate structures.

Findings

Retarded scalar correlator computed in wormhole geometry

Quantitative comparison between holography and WKB results

Calculation of off-diagonal correlator involving different wormhole states

Abstract

We study probe scalar correlation functions in a Solodukhin wormhole corresponding to the non-rotating BTZ black hole, as a toy model for microstate geometries thereof. Using real-time holography, we obtain the retarded scalar correlator in the wormhole geometry and quantitatively compare it to the result of the hybrid WKB method for the same correlator. We also calculate an off-diagonal correlator $\sim\langle H L L H' \rangle$ involving two different (heavy) wormhole states.