String Theory on AdS_3/Z_N

TL;DR

This paper investigates string theory on AdS_3 spaces with conical defects created by Z_N quotients, analyzing the spectrum, twisted sectors, and thermal properties to deepen understanding of such singular geometries.

Contribution

It introduces a method to compute the spectrum of string theory on AdS_3/Z_N spaces, utilizing spectral flow and orbifold techniques, and confirms results through thermal partition function calculations.

Findings

Spectral flow generates twisted sectors in the orbifold

Thermal partition function matches the computed spectrum

Conical defects are effectively modeled in string theory context

Abstract

We study string theory on singular Z_N quotients of AdS_3, corresponding to spaces with conical defects. The spectrum is computed using the orbifold procedure. It is shown that spectral flow may be used to generate the twisted sectors. We further compute the thermal partition function and show that it correctly reproduces the spectrum.