Target Space Dualities of Heterotic Grand Unified Theories

TL;DR

This paper explores target space dualities in heterotic (0,2) models, providing new examples with non-tangent bundle vector bundles, and analyzes the conditions and landscape of E6 models.

Contribution

It extends the understanding of target space dualities to more general vector bundles beyond tangent bundles in heterotic models.

Findings

Duality conditions hold for non-tangent bundle compactifications.

New examples involving SO(10) and SU(5) gauge theories.

Large landscape scan of E6 models conducted.

Abstract

In this article we summarize and extend the ideas and investigations on so called target space dualities of heterotic models with (0,2) worldsheet supersymmetry as they were partly presented on the String-Math 2011 conference. After the generic description of the duality, we give some novel examples involving vector bundles that are not deformations of the tangent bundle but more generic ones corresponding to SO(10) and SU(5) gauge theories in four dimensions. We show explicitly that the necessary conditions for a duality also hold for compactifications of this kind. Finally we will present the results of the large landscape scan of E_6 models.