Non-Kaehler attracting manifolds

TL;DR

This paper explores the extension of the attractor mechanism from IIB flux vacua to non-Kaehler heterotic compactifications, identifying special-hermitian manifolds as attractor points for fluxes.

Contribution

It introduces a novel extension of the attractor mechanism to non-Kaehler manifolds in heterotic string theory, focusing on generalized half-flat manifolds.

Findings

Minkowski attractor points correspond to special-hermitian manifolds

Extension of attractor mechanism to non-Kaehler flux vacua

Identification of geometric structures associated with flux attractors

Abstract

We observe that the new attractor mechanism describing IIB flux vacua for Calabi-Yau compactifications has a possible extension to the landscape of non-Kaehler vacua that emerge in heterotic compactifications with fluxes. We focus on the effective theories coming from compactifications on generalized half-flat manifolds, showing that the Minkowski "attractor points'' for 3-form fluxes are special-hermitian manifolds.