Kahler Cone Substructure

TL;DR

This paper explores how the Kahler cone's subdivision affects bundle stability in heterotic compactifications, revealing a complex structure that influences the moduli space and has been previously overlooked in physics.

Contribution

It provides a detailed analysis of the Kahler cone substructure and its impact on bundle stability in heterotic string theory compactifications.

Findings

Kahler cone splits into subcones with distinct bundle moduli

Bundle stability depends intricately on Kahler form within each subcone

Overlooked substructure influences physical properties of compactifications

Abstract

To define a consistent perturbative geometric heterotic compactification the bundle is required to satisfy a subtle constraint known as ``stability,'' which depends upon the Kahler form. This dependence upon the Kahler form is highly nontrivial---the Kahler cone splits into subcones, with a distinct moduli space of bundles in each subcone---and has long been overlooked by physicists. In this article we describe this behavior and its physical manifestation.