Some Examples of Chiral Moduli Spaces and Dynamical Supersymmetry Breaking

TL;DR

This paper explores the low-energy behavior of specific $SU(N)$ gauge theories, constructing quantum moduli spaces and superpotentials, and identifies classes of models that exhibit dynamical supersymmetry breaking.

Contribution

It provides the first explicit constructions of quantum moduli spaces and superpotentials for these theories, revealing new mechanisms for supersymmetry breaking.

Findings

Constructed quantum moduli space for $N_f=3$.

Derived exact quantum superpotentials for $N_f<3$.

Identified models with dynamical supersymmetry breaking for odd and even $N$.

Abstract

We investigate the low-energy dynamics of $SU(N)$ gauge theories with one antisymmetric tensor field, $N - 4 + N_f$ antifundamentals and $N_f$ fundamentals, for $N_f \le 3$. For $N_f = 3$ we construct the quantum moduli space, and for $N_f < 3$ we find the exact quantum superpotentials. We find two large classes of models with dynamical supersymmetry breaking. The odd $N$ theories break supersymmetry once appropriate mass terms are added in the superpotential. The even $N$ theories break supersymmetry after gauging an extra chiral $U(1)$ symmetry.