Heterotic moduli stabilisation and non-supersymmetric vacua

• Published in: The journal of high energy physics Vol. 2015; no. 8; pp. 1 - 18
• Main Authors: Lukas, Andre, Lalak, Zygmunt, Svanes, Eirik E.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2015; Springer Nature B.V
• Subjects: Classical and Quantum Gravitation; Dilatons; Elementary Particles; Flux; High energy physics; Manifolds (mathematics); Mathematical analysis; Mathematical models; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Strings; Supersymmetry; Symmetry; Flux compactifications; Superstring Vacua; Superstrings and Heterotic Strings
• ISSN: 1029-8479; 1126-6708; 1127-2236; 1029-8479
• DOI: 10.1007/JHEP08(2015)020

A bstract 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.