Melvin Background in Heterotic Theories

TL;DR

This paper interprets non-supersymmetric heterotic theories as supersymmetric ones on Melvin backgrounds with Wilson lines, analyzing their partition functions, tachyonic instabilities, and strong coupling behavior through dualities.

Contribution

It provides a novel interpretation of non-supersymmetric heterotic theories using Melvin backgrounds and explores their stability and duality properties.

Findings

Partition functions coincide for most non-supersymmetric theories

Tachyonic instabilities are linked to background fields

Strong coupling behavior analyzed via dualities

Abstract

We give an interpretation of the non-supersymmetric heterotic theories as the supersymmetric heterotic theories on Melvin background with Wilson lines. The coincidence of the partition functions are shown for most of the non-supersymmetric theories. We also discuss the tachyonic instability in terms of the non-trivial background fields. The behavior in the strong coupling region is investigated by using the duality relations of the supersymmetric theories.