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

TL;DR

This work provides a systematic framework to identify confinement in N=1 SUSY gauge theories via two simple criteria, enabling a complete classification of single-gauge-group s-confining theories across SU, SO, Sp, and exceptional groups. It delivers explicit confined spectra and dynamical superpotentials for the identified theories and shows how integrating out matter generates additional confining models with quantum-deformed moduli spaces or runaway behavior. The results advance model-building by supplying exact IR data that facilitate constructing composite sectors and dynamical SUSY-breaking scenarios. Overall, the paper furnishes a comprehensive resource on exact IR dynamics and its use in realistic SUSY model-building.

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.