GLSMs for non-Kahler Geometries

TL;DR

This paper demonstrates how (0,2) gauged linear sigma models can produce H-flux satisfying the Bianchi identity, leading to consistent conformal field theories in the infrared, relevant for non-Kähler geometries.

Contribution

It introduces a mechanism within (0,2) GLSMs to generate H-flux with anomaly cancellation, advancing understanding of non-Kähler compactifications.

Findings

Effective GLSMs with Green-Schwarz anomaly cancellation constructed

Off-shell superconformal algebra established, indicating IR fixed points

Models shown to be quantum-consistent and flow to good CFTs

Abstract

We identify a simple mechanism by which H-flux satisfying the modified Bianchi identity arises in garden-variety (0,2) gauged linear sigma models. Taking suitable limits leads to effective gauged linear sigma models with Green-Schwarz anomaly cancellation. We test the quantum-consistency of a class of such effective theories by constructing an off-shell superconformal algebra, providing evidence that these models run to good CFTs in the deep IR.