On Moduli Stabilisation and de Sitter Vacua in MSSM Heterotic Orbifolds

Abstract

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.

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

References in corpus (11)

• A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
• De Sitter Vacua from Matter Superpotentials
• The Heterotic Road to the MSSM with R parity
• Supersymmetric Standard Model from the Heterotic String (II)
• Towards Realistic String Vacua From Branes At Singularities
• Large hierarchies from approximate R symmetries
• Higher Order Couplings from Heterotic Orbifold Theory
• Mirage Pattern from the Heterotic String
• Moduli stabilization and SUSY breaking in heterotic orbifold string models
• Moduli Stabilization in non-Supersymmetric Minkowski Vacua with Anomalous U(1) Symmetry
• Enhanced Symmetries of Orbifolds from Moduli Stabilization

Cited by in corpus (9)

• The Swampland: Introduction and Review
• Stabilizing All Geometric Moduli in Heterotic Calabi-Yau Vacua
• Heterotic de Sitter Beyond Modular Symmetry
• Cosmological tests of quintessence in quantum gravity
• Towards Matter Inflation in Heterotic String Theory
• A Dynamical Mechanism for Large Volumes with Consistent Couplings
• On flavor symmetries of phenomenologically viable string compactifications
• U(1)' coupling constant at low energies from heterotic orbifolds
• Dark Energy in String Theory