Large-Volume Flux Compactifications: Moduli Spectrum and D3/D7 Soft Supersymmetry Breaking

TL;DR

This paper calculates the spectrum and supersymmetry breaking terms in large-volume flux compactifications of string theory, demonstrating a hierarchy of moduli masses and soft terms relevant for cosmology and particle physics.

Contribution

It provides the first explicit computation of soft supersymmetry breaking terms after fixing all geometric moduli in large-volume flux compactifications.

Findings

Hierarchy of moduli masses depending on inverse powers of volume

Soft supersymmetry breaking terms dominated by volume F-terms

Realization of large extra dimensions scenario in string theory

Abstract

We present an explicit calculation of the spectrum of a general class of string models, corresponding to Calabi-Yau flux compactifications with h_{1,2}>h_{1,1}>1 with leading perturbative and non-perturbative corrections, in which all geometric moduli are stabilised as in hep-th/0502058. The volume is exponentially large, leading to a range of string scales from the Planck mass to the TeV scale, realising for the first time the large extra dimensions scenario in string theory. We provide a general analysis of the relevance of perturbative and non-perturbative effects and the regime of validity of the effective field theory. We compute the spectrum in the moduli sector finding a hierarchy of masses depending on inverse powers of the volume. We also compute soft supersymmetry breaking terms for particles living on D3 and D7 branes. We find a hierarchy of soft terms corresponding to `volume dominated' F-term supersymmetry breaking. F-terms for Kahler moduli dominate both those for dilaton and complex structure moduli and D-terms or other de Sitter lifting terms. This is the first class of string models in which soft supersymmetry breaking terms are computed after fixing all geometric moduli. We outline several possible applications of our results, both for cosmology and phenomenology and point out the differences with the less generic KKLT vacua.