On Moduli Stabilisation and de Sitter Vacua in MSSM Heterotic Orbifolds

Details On Moduli Stabilisation and de Sitter Vacua in MSSM Heterotic Orbifolds On Moduli Stabilisation and de Sitter Vacua in MSSM Heterotic Orbifolds

2010-09-20

arxiv.org/abs/1009.3931v2

JHEP 1101:071,2011

Physics

High Energy Physics

High Energy Physics - Theory

55 pages, 2 figures, v2: added link to mathematica files, other minor revisions, matches JHEP version

Scientific paper

10.1007/JHEP01(2011)071

We study the problem of moduli stabilisation in explicit heterotic orbifold compactifications, whose spectra contain the MSSM plus some vector-like exotics that can be decoupled. Considering all the bulk moduli, we obtain the 4D low energy effective action for the compactification, which has contributions from various, computable, perturbative and non-perturbative effects. Hidden sector gaugino condensation and string worldsheet instantons result in a combination of racetrack, KKLT and cusp-form contributions to the superpotential, which lift all the bulk moduli directions. We point out the properties observed in our concrete models, which tend to be missed when only "generic" features of a model are assumed. We search for interesting vacua and find several de Sitter solutions, but -- so far -- they all turn out to be unstable.

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