Heterotic Flux Geometry from Chiral Gauge Dynamics

TL;DR

This paper explores novel vacuum solutions in two-dimensional (0,2) supersymmetric chiral gauge theories, revealing connections between gauge anomalies and heterotic string backgrounds with flux and branes.

Contribution

It introduces field-dependent theta-angles and FI parameters to construct heterotic flux geometries, expanding the understanding of (0,2) gauge theories beyond traditional models.

Findings

New vacuum solutions with non-trivial H-flux

Relationship between gauge anomalies and H-flux

Heterotic backgrounds with NS-brane sources

Abstract

Chiral gauge theories in two dimensions with (0,2) supersymmetry admit a much broader, and more interesting, class of vacuum solutions than their better studied (2,2) counterparts. In this thesis, we will explore some of the possibilities that are offered by this additional freedom by including field-dependent theta-angles and FI parameters. The moduli spaces that will result from this procedure correspond to heterotic string backgrounds with non-trivial H-flux and NS-brane sources. Along the way, a remarkable relationship between (0,2) gauge anomalies and H-flux will emerge.