Dilaton Stabilization in the Context of Dynamical Supersymmetry Breaking through Gaugino Condensation

TL;DR

The paper shows that dilaton stabilization in string-inspired effective theories with dynamical SUSY breaking via gaugino condensation can be achieved within the linear multiplet formulation. A simple static model yields a run-away potential, but incorporating nonperturbative corrections to the Kähler potential produces a stable minimum with gaugino condensation and SUSY breaking, while the gravitino mass becomes independent of moduli due to Green-Schwarz cancellation. A concrete example with a nonperturbative Kähler term demonstrates a stabilized dilaton around $\langle \ell \rangle \approx 0.45$ and a small gravitino mass, with the cosmological constant tunable to zero. The results highlight a distinct, tractable route to dilaton stabilization and SUSY breaking in string-effective theories without needing racetrack mechanisms, and point to natural extensions to nonstatic condensates and multi-condensate scenarios.

Abstract

We study gaugino condensation in the context of superstring effective theories using the linear multiplet formulation for the dilaton superfield. Including nonperturbative corrections to the Kähler potential for the dilaton may naturally achieve dilaton stabilization, with supersymmetry breaking and gaugino condensation; these three issues are interrelated in a very simple way. In a toy model with a single static condensate, a dilaton $vev$ is found within a phenomenologically interesting range. The effective theory differs significantly from condensate models studied previously in the chiral formulation.