Exact Results for the Supersymmetric $G_2$ Gauge Theories

TL;DR

This paper provides exact results for $G_2$ supersymmetric gauge theories, including superpotentials, moduli spaces, and IR fixed points, advancing understanding of their non-perturbative dynamics.

Contribution

It presents the first exact analysis of $G_2$ gauge theories with fundamental flavors, revealing their quantum moduli space and fixed points.

Findings

Dynamically generated superpotentials identified

Quantum moduli space characterized

Existence of non-trivial IR fixed points confirmed

Abstract

We study the $N=1$ supersymmetric $G_2$ gauge theories with $N_f$ flavors of quarks in the fundamental vector representation. We find dynamically generated superpotentials, smooth quantum moduli space, quantum moduli space with additional mesons, non trivial IR fixed points.