Supersymmetry Breaking and Duality in SU(N)xSU(N-M) Theories

TL;DR

This paper explores the nonperturbative dynamics and dualities of N=1 supersymmetric SU(N)xSU(N-M) theories, revealing how Yukawa couplings induce confinement and how certain models break supersymmetry.

Contribution

It introduces a detailed analysis of duality and supersymmetry breaking in SU(N)xSU(N-M) theories with fundamental matter, highlighting the role of Yukawa couplings and superpotentials.

Findings

Yukawa couplings lead to confinement in these theories.

Nonperturbative superpotentials are derived via duality.

Certain models with odd N and M=2 break supersymmetry.

Abstract

We consider a class of N=1 supersymmetric Yang-Mills theories, with gauge group SU(N)xSU(N - M) and fundamental matter content. Duality plays an essential role in analyzing the nonperturbative infrared dynamics of these models. We find that Yukawa couplings drive these theories into the confining phase, and show how the nonperturbative superpotentials arise in the dual picture. We show that the odd-N, M = 2 models with an appropriate tree-level superpotential break supersymmetry.