Dynamical Supersymmetry Breaking versus Run-away behavior in Supersymmetric Gauge Theories

TL;DR

This paper investigates how classical flat directions in supersymmetric gauge theories influence dynamical supersymmetry breaking, analyzing stability, run-away behavior, and the role of quantum corrections in moduli stabilization.

Contribution

It develops a systematic method to determine whether flat directions are stabilized or lead to run-away behavior, including calculable quantum corrections in specific models.

Findings

Quantum corrections can stabilize flat directions in certain models.

Potential for moduli is generated in Intriligator-Thomas models.

Regions exist where K"ahler corrections produce local minima at finite field values.

Abstract

We consider Dynamical Supersymmetry Breaking (DSB) in models with classical flat directions. We analyze a number of examples, and develop a systematic approach to determine if classical flat directions are stabilized in the full quantum theory, or lead to run-away behavior. In some cases pseudo-flat directions remain even at the quantum level before taking into account corrections to the K\"ahler potential. We show that in certain limits these corrections are calculable. In particular, we find that in the Intriligator-Thomas $SU(2)$ and its generalizations, a potential for moduli is generated. Moreover, there is a region of the parameter space where K\"ahler potential corrections lead to calculable (local) minima at large but finite distance from the origin.