Modular Invariant Gaugino Condensation in the Presence of an Anomalous U(1)

TL;DR

This paper investigates the effects of gaugino condensation and U(1) symmetry breaking in string-derived supergravity models, revealing new insights into vacuum stability, moduli masses, and supersymmetry breaking.

Contribution

It provides a consistent analysis of U(1) breaking combined with gaugino condensation, offering novel results on vacuum stability and mass spectra.

Findings

New results on vacuum stability in the presence of U(1) breaking

Insights into soft supersymmetry-breaking masses

Moduli and fermion mass spectrum modifications

Abstract

Starting from the previously constructed effective supergravity theory below the scale of U(1) breaking in orbifold compactifications of the weakly coupled heterotic string, we study the effective theory below the scale of supersymmetry breaking by gaugino and matter condensation in a hidden sector. Issues we address include vacuum stability, soft supersymmetry-breaking masses in the observable sector, and the masses of the various moduli fields, including those associated with flat directions at the U(1)-breaking scale, and of their fermionic superpartners. The consistent treatment of U(1) breaking together with condensation yields qualitatively new results.