Confinement in N=1 SUSY Gauge Theories and Model Building Tools

TL;DR

This paper develops a systematic method to identify N=1 supersymmetric gauge theories that confine without chiral symmetry breaking and generate non-perturbative superpotentials, providing new models for dynamical supersymmetry breaking.

Contribution

It introduces necessary conditions for s-confinement in N=1 theories and classifies all such theories with a single gauge group and no superpotential.

Findings

Complete list of s-confine N=1 theories with one gauge group

Explicit confined spectra and superpotentials

New models demonstrating dynamical supersymmetry breaking

Abstract

We develop a systematic approach to confinement in N=1 supersymmetric theories. We identify simple necessary conditions for theories to confine without chiral symmetry breaking and to generate a superpotential non-perturbatively (s-confine). Applying these conditions we identify all N=1 theories with a single gauge group and no tree-level superpotential which s-confine. We give a complete list of the confined spectra and superpotentials. Some of these theories are of great interest for model building. We give several new examples of models which break supersymmetry dynamically.