Half-Twisted Correlators from the Coulomb Branch

TL;DR

This paper develops algebraic formulas for half-twisted correlators in (0,2) supersymmetric models, generalizing Gromov-Witten invariants for toric varieties, and provides explicit examples and deformed quantum cohomology relations.

Contribution

It introduces a new algebraic approach to compute (0,2) correlators, extending genus zero Gromov-Witten invariants to a broader class of models.

Findings

Derived simple formulas for (0,2) correlators

Generalized quantum cohomology relations for toric varieties

Applied method to multiple explicit examples

Abstract

We compute correlators of chiral operators in half-twisted (0,2) supersymmetric gauged linear sigma models. Our results give simple algebraic formulas for a (0,2) generalization of genus zero Gromov-Witten invariants of compact toric varieties. We derive compact expressions for deformed quantum cohomology relations and apply our general method to several examples.