Landscape Study of Target Space Duality of (0,2) Heterotic String Models

TL;DR

This paper systematically explores target space dualities in (0,2) heterotic string models using gauged linear sigma models, comparing spectra and moduli across dual compactifications.

Contribution

It introduces a method to derive and analyze target space dualities in (0,2) models within GLSMs, including non-geometric phases and geometric phases.

Findings

Identification of dual pairs with matching spectra

Comparison of moduli space dimensions across dual models

Application to geometries with SU(n) bundles in toric varieties

Abstract

In the framework of (0,2) gauged linear sigma models, we systematically generate sets of perturbatively dual heterotic string compactifications. This target space duality is first derived in non-geometric phases and then translated to the level of GLSMs and its geometric phases. In a landscape analysis, we compare the massless chiral spectra and the dimensions of the moduli spaces. Our study includes geometries given by complete intersections of hypersurfaces in toric varieties equipped with SU(n) vector bundles defined via the monad construction.