More Results in $N=1$ Supersymmetric Gauge Theories

TL;DR

This paper derives exact effective superpotentials and gauge couplings for specific 4-dimensional N=1 supersymmetric SU(2) gauge theories with various matter content, providing detailed insights into their non-perturbative dynamics.

Contribution

It provides the first exact superpotentials and gauge couplings for SU(2) theories with multiple matter representations, extending previous results in supersymmetric gauge theory.

Findings

Exact superpotentials for theories with N_3 triplets and N_2 doublets.

Gauge couplings explicitly derived for theories with a single triplet matter superfield.

Results applicable for arbitrary bare masses and Yukawa couplings.

Abstract

We present the exact effective superpotentials in $4d$, $N=1$ supersymmetric $SU(2)$ gauge theories with $N_3$ triplets and $N_2$ doublets of matter superfields. For the theories with a single triplet matter superfield we present the exact gauge couplings for arbitrary bare masses and Yukawa couplings.