Dilaton Stabilization and Supersymmetry Breaking by Dynamical Gaugino Condensation in the Linear Multiplet Formalism of String Effective Theory

TL;DR

This paper investigates how dynamical gaugino condensation in superstring theories using the linear multiplet formalism can stabilize the dilaton field and break supersymmetry, emphasizing the role of non-perturbative effects.

Contribution

It demonstrates that the necessary condition for dilaton stabilization applies to dynamical gaugino condensation and constructs a toy model showing explicit stabilization and supersymmetry breaking.

Findings

Dilaton can be stabilized by stringy non-perturbative effects.

Supersymmetry is dynamically broken in the constructed model.

The model achieves a vanishing cosmological constant through fine-tuning.

Abstract

We study dynamical gaugino condensation in superstring effective theories using the linear multiplet representation for the dilaton superfield. An interesting necessary condition for the dilaton to be stabilized, which was first derived in generic models of static gaugino condensation, is shown to hold for generic models of dynamical gaugino condensation. We also point out that it is stringy non-perturbative effects that stabilize the dilaton and allow dynamical supersymmetry breaking via the field-theoretical non-perturbative effect of gaugino condensation. As a typical example, a toy S-dual model of a dynamical E_8 condensate is constructed and the dilaton is explicitly shown to be stabilized with broken supersymmetry and (fine-tuned) vanishing cosmological constant.