The Coulomb Branch in Gauged Linear Sigma Models

TL;DR

This paper studies toric gauged linear sigma models as a framework for understanding tachyon condensation in non-supersymmetric string orbifolds, revealing a non-trivial IR chiral ring linked to Coulomb vacua.

Contribution

It introduces a method to compute A-model correlators in toric GLSMs and uncovers a novel IR chiral ring structure associated with Coulomb vacua.

Findings

Computed A-model correlators using topological relations.

Identified a non-trivial IR chiral ring.

Linked the chiral ring to Coulomb vacua.

Abstract

We investigate toric GLSMs as models for tachyon condensation in type II strings on space-time non-supersymmetric orbifold singularities. The A-model correlators in these theories satisfy a set of relations related to the topology of the resolved orbifold. Using these relations we compute the correlators and find a non-trivial chiral ring in the IR, which we interpret as supported on isolated Coulomb vacua of the theory.