Non-Local Observables in the A-Model

TL;DR

This paper computes non-local observable correlators in A-model topological field theories, revealing differences in non-local correlators even when local observables match, through localization techniques in Landau-Ginzburg and gauged linear sigma models.

Contribution

It introduces a method to compute non-local correlators in A-model topological theories and demonstrates their potential to distinguish theories with identical local observable correlators.

Findings

Computed non-local correlators via localization in Landau-Ginzburg models.

Identified theories with identical local but different non-local correlators.

Showed non-local observables can distinguish topological theories beyond local observables.

Abstract

We compute correlators of non-local observables in a large class of A-twisted massive Landau-Ginzburg and gauged linear sigma models by localization to the discrete vacua. As an application, we present two topological field theories with identical chiral rings and correlators of local observables, which nevertheless differ in the correlators of non-local observables.