(0,2) Target Space Duality, CICYs and Reflexive Sheaves

TL;DR

This paper broadens the understanding of (0,2) target space duality, demonstrating it applies beyond Landau-Ginzburg models to more general vector bundles over complete intersections, including non-geometric phases.

Contribution

It extends the scope of (0,2) target space duality to include models without Landau-Ginzburg descriptions and introduces mathematical tools for reflexive sheaves.

Findings

Dual models agree in non-geometric phases

Target space duality applies to broader class of vector bundles

Mathematical framework for reflexive sheaves provided

Abstract

It is shown that the recently proposed target space duality for (0,2) models is not limited to models admitting a Landau-Ginzburg description. By studying some generic examples it is established for the broader class of vector bundles over complete intersections in toric varieties. Instead of sharing a common Landau-Ginzburg locus, a pair of dual models agrees in more general non-geometric phases. The mathematical tools for treating reflexive sheaves are provided, as well.