(0,2) Mirror Symmetry

TL;DR

This paper extends (0,2) mirror symmetry from known (2,2) models to new classes of compactifications, demonstrating how existing mirror constructions apply in the (0,2) setting.

Contribution

It generalizes (0,2) triality to various compactifications and shows that (2,2) mirror symmetry induces mirror symmetry in (0,2) models.

Findings

(2,2) mirror constructions induce (0,2) mirror symmetry

Generalization of (0,2) triality to new classes of models

Extension of mirror symmetry concepts to (0,2) compactifications

Abstract

We generalize the previously established (0,2) triality of exactly solvable models, Landau-Ginzburg theories and Calabi-Yau manifolds to a number of different classes of (0,2) compactifications derived from (2,2) vacua. For the resulting models we show that the known (2,2) mirror constructions induce mirror symmetry in the (0,2) context.