Gauge Fields on Torus and Partition Function of Strings

TL;DR

This paper explores the relationship between gauge fields on a torus and string partition functions, focusing on zero modes and the Wilson loop mechanism at finite temperature in compactified string theories.

Contribution

It provides a detailed analysis of how background gauge fields influence string partition functions through zero modes and discusses the Wilson loop mechanism in this context.

Findings

Partition functions derived from open string theories with background gauge fields.

Zero modes are crucial in understanding the effects of compactification and background fields.

Insights into the Wilson loop mechanism at finite temperature.

Abstract

In this paper we consider the interrelation between compactified string theories on torus and gauge fields on it. We start from open string theories with background gauge fields and derive partition functions by path integral. Since the effects of background fields and compactification correlate only through string zero modes, we investigate these zero modes. From this point of view, we discuss the Wilson loop mechanism at finite temperature. For the closed string, only a few comments are mentioned.