Strings in a PP-wave background compactified on T^8 with twisted S^1

TL;DR

This paper investigates a complex compactification of type IIB PP-wave backgrounds on T^8 with a twisted S^1, analyzing the string spectrum and thermal properties in this intricate geometric setting.

Contribution

It introduces a novel T^8 compactification with a twisted S^1 fiber, expanding understanding of string spectra in nontrivial geometric backgrounds.

Findings

Derived the spectrum of closed strings in the twisted T^8 background

Computed the thermal partition function for the compactified background

Identified the need for an additional light-like compactification due to isometry structure

Abstract

We study a torus-like compactification of type IIB maximally supersymmetric PP-wave background. As the most general case, we discuss a T^8 compactification of all the transverse directions. A nontrivial structure of the isometry group requires an additional light-like compactification. This additional S^1 fiber is twisted on the T^8. We determine the spectrum of closed strings in this twisted torus background and compute the thermal partition function.