Strings in the Extended BTZ Spacetime

TL;DR

This paper investigates string theory in the extended BTZ black hole spacetime, analyzing correlation functions across multiple boundary components using orbifold techniques and analytic continuation.

Contribution

It introduces a method to compute string correlation functions in the extended BTZ spacetime via orbifold and analytic continuation from SL(2,C)/SU(2) models.

Findings

Derived two-point functions for operators on different boundary components.

Included operators describing strings winding around the black hole horizon.

Provided a framework for analyzing string dynamics in extended black hole geometries.

Abstract

We study string theory on the extended spacetime of the BTZ black hole, as described by an orbifold of the SL(2,R) WZW model. The full spacetime has an infinite number of disconnected boundary components, each corresponding to a dual CFT. We discuss the computation of bulk and boundary correlation functions for operators inserted on different components. String theory correlation functions are obtained by analytic continuation from an orbifold of the SL(2,C)/SU(2) coset model. This yields two-point functions for general operators, including those describing strings that wind around the horizon of the black hole.