More Dynamical Supersymmetry Breaking

TL;DR

This paper introduces new classes of theories based on SU(n) x SU(3) x U(1) gauge groups that can dynamically break supersymmetry without generating a superpotential initially, and demonstrates this with explicit models and analysis.

Contribution

The paper presents a novel class of supersymmetry-breaking theories with specific gauge groups, providing explicit superpotentials and analyzing their dynamical properties and flat directions.

Findings

All flat directions can be lifted with a renormalizable superpotential.

Supersymmetry is dynamically broken in the SU(4) x SU(3) x U(1) example.

Theories with even n>4 exhibit similar supersymmetry-breaking behavior.

Abstract

In this paper we introduce a new class of theories which dynamically break supersymmetry based on the gauge group SU(n)xSU(3)xU(1) for even n. These theories are interesting in that no dynamical superpotential is generated in the absence of perturbations. For the example SU(4)xSU(3)xU(1) we explicitly demonstrate that all flat directions can be lifted through a renormalizable superpotential and that supersymmetry is dynamically broken. We derive the exact superpotential for this theory, which exhibits new and interesting dynamical phenomena. For example, modifications to classical constraints can be field dependent. We also consider the generalization to SU(n)xSU(3)xU(1) models (with even n>4). We present a renormalizable superpotential which lifts all flat directions. Because SU(3) is not confining in the absence of perturbations, the analysis of supersymmetry breaking is very different in these theories from the n=4 example. When the SU(n) gauge group confines, the Yukawa couplings drive the SU(3) theory into a regime with a dynamically generated superpotential. By considering a simplified version of these theories we argue that supersymmetry is probably broken.