A-twisted heterotic Landau-Ginzburg models

TL;DR

This paper extends methods for A-twisted (2,2) Landau-Ginzburg models to (0,2) models, exploring dualities, topological twists, and correlation functions on non-trivial spaces, with checks via RG flow to heterotic sigma models.

Contribution

It introduces a framework for analyzing (0,2) heterotic Landau-Ginzburg models with dualities and topological twists, expanding the understanding of their correlation functions and geometric properties.

Findings

Duality exchanges A- and B-twists and dualizes gauge bundles.

Correlation functions receive contributions similar to (2,2) curve corrections.

Models flow to heterotic nonlinear sigma models, validating the methods.

Abstract

In this paper, we apply the methods developed in recent work for constructing A-twisted (2,2) Landau-Ginzburg models to analogous (0,2) models. In particular, we study (0,2) Landau-Ginzburg models on topologically non-trivial spaces away from large-radius limits, where one expects to find correlation function contributions akin to (2,2) curve corrections. Such heterotic theories admit A- and B-model twists, and exhibit a duality that simultaneously exchanges the twists and dualizes the gauge bundle. We explore how this duality operates in heterotic Landau-Ginzburg models, as well as other properties of these theories, using examples which RG flow to heterotic nonlinear sigma models as checks on our methods.