A Systematic Approach to Confinement in N=1 Supersymmetric Gauge Theories

TL;DR

This paper establishes criteria for N=1 supersymmetric gauge theories to exhibit smooth confinement without chiral symmetry breaking, identifying all such SU and Sp theories with a single gauge group and no superpotential.

Contribution

It provides a systematic framework to determine when N=1 supersymmetric theories are smoothly confining, expanding understanding of their phase structure.

Findings

Identified necessary criteria for smooth confinement in N=1 theories

Classified all SU and Sp theories with single gauge group meeting these criteria

Excluded theories with chiral symmetry breaking or additional superpotentials

Abstract

We give necessary criteria for N=1 supersymmetric theories to be in a smoothly confining phase without chiral symmetry breaking and with a dynamically generated superpotential. Using our general arguments we find all such confining SU and Sp theories with a single gauge group and no tree level superpotential.