Heterotic Flux Vacua from Hybrid Linear Models

TL;DR

This paper introduces hybrid linear models combining gauged linear sigma models and WZW models to construct new heterotic string flux vacua, including known and novel non-Kahler compactifications.

Contribution

It presents a new class of hybrid models that cancel anomalies via classical and quantum mechanisms, enabling the construction of both known and new heterotic flux vacua.

Findings

Recovered known non-Kahler compactifications with abelian gauge groups.

Constructed novel non-abelian flux vacua with quasi-geometric properties.

Demonstrated the fibering of WZW models over sigma model target spaces.

Abstract

We construct hybrid linear models in which the chiral anomaly of a gauged linear sigma model is canceled by the classical anomaly of a gauged WZW model. Semi-classically, this corresponds to fibering the WZW model over the naive target space of the sigma model. When the gauge group is abelian, we recover known non-Kahler compactifications; non-abelian models describe novel quasi-geometric flux vacua of the heterotic string.