Heterotic compactifications and nearly-Kahler manifolds

TL;DR

This paper explores the relationship between heterotic string compactifications on nearly-Kahler and half-flat manifolds, suggesting an equivalence that simplifies the moduli space to only Kahler deformations.

Contribution

It proposes a novel equivalence between heterotic compactifications on nearly-Kahler and half-flat manifolds, clarifying the structure of their moduli spaces.

Findings

Moduli space includes only Kahler deformations.

No complex structure deformations are present.

The proposed equivalence simplifies understanding of heterotic compactifications.

Abstract

We propose that under certain conditions heterotic string compactifications on half-flat and nearly-Kahler manifolds are equivalent. Based on this correspondence we argue that the moduli space of the nearly-Kahler manifolds under discussion consists only of the Kahler deformations moduli space and there is no correspondent for the complex structure deformations.