Summing the Instantons in Half-Twisted Linear Sigma Models

TL;DR

This paper analyzes half-twisted linear sigma models relevant to heterotic string compactifications, exploring their correlators, parameter dependence, and implications for (0,2) mirror symmetry and moduli space physics.

Contribution

It introduces methods to compute genus zero correlators in (2,2) locus theories and explores their separation into A and B types, advancing understanding of (0,2) mirror symmetry.

Findings

Correlators and parameters separate into A and B types.

Techniques for computing correlator dependence on parameters.

Applications to examples relevant to heterotic compactifications.

Abstract

We study half-twisted linear sigma models relevant to (0,2) compactifications of the heterotic string. Focusing on theories with a (2,2) locus, we examine the linear model parameter space and the dependence of genus zero half-twisted correlators on these parameters. We show that in a class of theories the correlators and parameters separate into A and B types, present techniques to compute the dependence, and apply these to some examples. These results should bear on the mathematics of (0,2) mirror symmetry and the physics of the moduli space and Yukawa couplings in heterotic compactifications.