On Orbifolds of (0,2) Models

TL;DR

This paper investigates orbifolds of (0,2) models, especially Landau-Ginzburg types, revealing simple (0,2) mirror pairs related by quotient actions through elliptic genus computations.

Contribution

It introduces new (0,2) mirror pairs connected via orbifold quotient actions, expanding understanding of their spectrum and symmetries.

Findings

Identified (0,2) mirror pairs related by quotients

Computed elliptic genus for orbifolded models

Found simple examples of mirror symmetry in (0,2) theories

Abstract

We study orbifolds of (0,2) models, including some cases with discrete torsion. Our emphasis is on models which have a Landau-Ginzburg realization, where we describe part of the massless spectrum by computing the elliptic genus for the orbifolded theory. Somewhat surprisingly, we find simple examples of (0,2) mirror pairs that are related by a quotient action. We present a detailed description of a family of such pairs.