Moduli-mixing racetrack model

TL;DR

This paper analyzes a superstring-inspired model with double gaugino condensations, revealing no stable supersymmetric vacuum and showing how uplifting potential can achieve near-zero vacuum energy while maintaining moduli stabilization.

Contribution

It provides a detailed analysis of moduli stabilization and supersymmetry breaking in a racetrack model with two light moduli, including the effects of uplifting potential.

Findings

No stable supersymmetric minimum with finite moduli values.

Supersymmetry breaking occurs with stabilized moduli and negative vacuum energy.

Uplifting potential can yield near-zero vacuum energy without altering moduli VEVs.

Abstract

We study supersymmetric models with double gaugino condensations in the hidden sector, where the gauge couplings depend on two light moduli of superstring theory. We perform a detailed analysis of this class of model and show that there is no stable supersymmetric minimum with finite vacuum values of moduli fields. Instead, we find that the supersymmetry breaking occurs with moduli stabilized and negative vacuum energy. That yields moduli-dominated soft supersymmetry breaking terms. To realize slightly positive (or vanishing) vacuum energy, we add uplifting potential. We discuss uplifting does not change qualitatively the vacuum expectation values of moduli and the above feature of supersymmetry breaking.