Testing the (0,2) mirror map

TL;DR

This paper tests a proposed mirror map for (0,2) superconformal field theories, verifying correlator exchange and establishing observable correspondences, thus advancing understanding of (0,2) mirror symmetry in Calabi-Yau hypersurfaces.

Contribution

It provides the first non-trivial verification of the (0,2) mirror map at the correlator level and explores the global structure of the (0,2) moduli space.

Findings

Correlators are exchanged by the mirror map in tested examples.

A correspondence between A/2- and B/2-twisted observables is established.

A non-renormalization argument applies to large classes of B/2 models.

Abstract

We test a proposed mirror map at the level of correlators for linear models describing the (0,2) moduli space of superconformal field theories with a (2,2) locus associated to Calabi-Yau hypersurfaces in toric varieties. We verify in non-trivial examples that the correlators are exchanged by the mirror map and we derive a correspondence between the observables of the A/2- and B/2-twisted theories. We also comment on the global structure of the (0,2) moduli space and present a simple non-renormalization argument for a large class of B/2 model subfamilies.