Author:
Lukas Andre,Lalak Zygmunt,Svanes Eirik E.
Abstract
Abstract
We study moduli stabilisation in four-dimensional N = 1 supergravity theories which originate from compactifications of the heterotic string on certain manifolds with SU(3) structure. These theories have a non-trivial superpotential generated from geometric flux and, in general, D-terms associated to anomalous U(1) symmetries. We show that, at the perturbative level, there are no supersymmetry preserving vacua. However, subject to a certain technical condition on the D-terms which aligns the extrema of the F-term and D-term potentials, ∂
i
V
F = ∂
i
V
D
= 0, we find at the perturbative level analytic stable AdS vacua which break supersymmetry. As a result, all T-moduli and the dilaton are stabilised perturbatively with supersymmetry broken at a high scale. We also show numerically that similar vacua can be found when the technical condition on the D-term is relaxed. These vacua persist in the presence of non-perturbative effects. In all cases, the vacua remain AdS.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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