The Low Energy Behavior of some Models with Dynamical Supersymmetry Breaking

TL;DR

This paper investigates the low energy behavior of certain supersymmetric SU(5) models with dynamical supersymmetry breaking, analyzing cases with different matter content and deriving effective theories and moduli spaces.

Contribution

It provides a detailed analysis of supersymmetry breaking and low energy effective theories in SU(5) models with various matter representations and superpotentials.

Findings

Supersymmetry is dynamically broken for all considered matter configurations.

The low energy effective sigma model is determined for the case with no 5 representation fields.

Quantum moduli space is characterized for the case with one 5 representation field.

Abstract

We study supersymmetric SU(5) chiral gauge theories with 2 fields in the 10 representation, $2+N_F$ fields in the $\bar{5}$ representation and $N_F$ fields in the 5 representation, for $N_F=0,1,2$. With a suitable superpotential, supersymmetry is shown to be broken dynamically for each of these values of $N_F$. We analyze the calculable limit for the model with $N_F=0$ in detail, and determine the low energy effective sigma model in this case. For $N_F=1$ we find the quantum moduli space, and for $N_F=2$ we construct the s--confining potential.