Heterotic String Compactifications on Half-flat Manifolds II

TL;DR

This paper extends the analysis of heterotic string compactifications on half-flat manifolds by including gauge fields, deriving effective theories, and exploring more general SU(3) structure manifolds, maintaining E6 gauge symmetry.

Contribution

It introduces a method to include gauge fields in heterotic compactifications on half-flat manifolds, preserving E6 gauge symmetry and deriving the corresponding four-dimensional effective theories.

Findings

Heterotic Bianchi identity solved by a variant of the standard embedding

Gauge group remains E6 despite SO(6) holonomy

Effective theories include matter field terms

Abstract

In this paper, we continue the analysis of heterotic string compactifications on half-flat mirror manifolds by including the 10-dimensional gauge fields. It is argued, that the heterotic Bianchi identity is solved by a variant of the standard embedding. Then, the resulting gauge group in four dimensions is still E6 despite the fact that the Levi-Civita connection has SO(6) holonomy. We derive the associated four-dimensional effective theories including matter field terms for such compactifications. The results are also extended to more general manifolds with SU(3) structure.