Open superstring partition function in constant gauge field background at finite temperature

TL;DR

This paper derives a comprehensive formula for the open superstring partition function on an annulus with a constant gauge field background at finite temperature, comparing different string theory approaches and discussing related gauge theories and D-brane applications.

Contribution

It provides the first general expression for the open superstring partition function in this setting, bridging Green-Schwarz and NSR formalisms.

Findings

Derived the general partition function expression for open superstrings with background fields.

Compared Green-Schwarz and NSR approaches for consistency.

Discussed implications for super Yang-Mills theory and D-brane physics.

Abstract

We find the general expression for the open superstring partition function on the annulus in a constant abelian gauge field background and at finite temperature. We use the approach based on Green-Schwarz string path integral in the light-cone gauge and compare it with NSR approach. We discuss the super Yang-Mills theory limit and mention some D-brane applications.