Gaugino Condensation, S-Duality and Supersymmetry Breaking in Supergravity Models

TL;DR

This paper reexamines gaugino condensation as a mechanism for supersymmetry breaking, proposing that nonperturbative effects and S-duality can resolve stability issues and lead to viable models with a single gaugino condensate.

Contribution

It introduces a novel approach using S-duality to modify gauge kinetic functions, enabling stable supersymmetry breaking with a single gaugino condensate.

Findings

Nonstandard gauge kinetic functions can stabilize the dilaton.

S-duality can address the runaway dilaton problem.

Supersymmetry breaking can be achieved with a single gaugino condensate.

Abstract

The status of the gaugino condensation as the source of supersymmetry breaking is reexamined. It is argued that one cannot have stable minima with broken supersymmetry in models where the dilaton is coupled only linearly to the gaugino condensate. We show that the problems of the gaugino condensate mechanism can be solved by considering nonstandard gauge kinetic functions, created by nonperturbative effects. As an example we use the principle of S-duality to modify the coupling of the gaugino condensate to effective supergravity (superstring) Lagrangians. We show that such an approach can solve the problem of the runaway dilaton and lead to satisfactory supersymmetry breaking in models with a {\em single} gaugino condensate. We exhibit a general property of theories containing a symmetry acting on the dilaton and also shed some light on the question whether it is generically the auxiliary field of the modulus $T$, which dominates supersymmetry breaking.