A-Model Correlators from the Coulomb Branch

TL;DR

This paper calculates A-Model correlators in toric GLSMs, revealing how Coulomb vacua influence these correlators and uncovering breakdowns in quantum cohomology for certain non-compact models.

Contribution

It provides a novel computation of Coulomb branch contributions to A-Model correlators, including for non-compact varieties where quantum cohomology relations fail.

Findings

Coulomb vacua significantly affect A-Model correlators.

Quantum cohomology relations break down in some non-compact cases.

Results apply to models with both compact and non-compact target spaces.

Abstract

We compute the contribution of discrete Coulomb vacua to A-Model correlators in toric Gauged Linear Sigma Models. For models corresponding to a compact variety, this determines the correlators at arbitrary genus. For non-compact examples, our results imply the surprising conclusion that the quantum cohomology relations break down for a subset of the correlators.