Soft supersymmetry breaking with tiny cosmological constant in flux compactified N=1 Supergravity

TL;DR

This paper explores flux compactification in supergravity to achieve de-Sitter or anti-de-Sitter vacua with a tiny cosmological constant, compatible with softly broken TeV-scale supersymmetry, by constraining the hidden sector's Kahler and superpotentials.

Contribution

It establishes general conditions on the Kahler and superpotentials in flux compactified supergravity models to realize realistic vacua with small cosmological constant and TeV-scale supersymmetry.

Findings

Consistent mass spectrum with TeV-scale supersymmetry achieved.

Tiny cosmological constant obtained in the model.

Hidden sector fields have Planck-scale VEVs.

Abstract

Using the flux compactification scenario in a generic supergravity model we construct a set of conditions which are necessary to generate de-Sitter or anti de-Sitter vacua for appropriate choices of the parameters in superpotential. It is shown that a mass spectrum consistent with softly broken TeV scale supersymmetry in a minimal supersymmetric standard model at the observable sector can be obtained along with a tiny cosmological constant when the Kahler and superpotential of the hidden sector satisfy a set of general constraints. Constructing a specific model with Kahler and superpotentials which satisfy the above constraints, it is demonstrated that all the hidden sector fields have vacuum expectation values close to Planck scale and the resulting low energy potential does not have any flat direction.