Modular Symmetries in $Z_N$ Orbifold Compactified String Theories with Wilson lines

TL;DR

This paper investigates how modular symmetries in $Z_N$ orbifold string theories with Wilson lines influence string loop threshold corrections, enhancing understanding of string compactification effects.

Contribution

It analyzes the impact of Wilson lines on target space modular symmetries in $Z_N$ orbifold string theories, a novel aspect in string compactification studies.

Findings

Modular symmetries are affected by Wilson line backgrounds.

Threshold corrections depend on these modified symmetries.

Provides a framework for calculating loop corrections in such models.

Abstract

Target space modular symmetries relevant to string loop threshold corrections are studied for $Z_N$ orbifold compactified string theories containing Wilson line background fields.