Heterotic Calabi-Yau Compactifications with Flux

Abstract

Compactifications of the heterotic string with NS flux normally require non Calabi-Yau internal spaces which are complex but no longer Kähler. We point out that this conclusion rests on the assumption of a maximally symmetric four-dimensional space-time and can be avoided if this assumption is relaxed. Specifically, it is shown that an internal Calabi-Yau manifold is consistent with the presence of NS flux provided four-dimensional space-time is taken to be a domain wall. These Calabi-Yau domain wall solutions can still be associated with a covariant four-dimensional N=1 supergravity. In this four-dimensional context, the domain wall arises as the "simplest" solution to the effective supergravity due to the presence of a flux potential with a runaway direction. Our main message is that NS flux is a legitimate ingredient for moduli stabilization in heterotic Calabi-Yau models. Ultimately, the success of such models depends on the ability to stabilize the runaway direction and thereby "lift" the domain wall to a maximally supersymmetric vacuum.

16 pages, 2 figures

References in corpus (6)

• Heterotic Line Bundle Standard Models
• Stabilizing the Complex Structure in Heterotic Calabi-Yau Vacua
• Bundles over Nearly-Kahler Homogeneous Spaces in Heterotic String Theory
• G-structures and Domain Walls in Heterotic Theories
• Moduli Stabilising in Heterotic Nearly Kähler Compactifications
• Heterotic domain wall solutions and SU(3) structure manifolds

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