Derivation of the linearity principle of Intriligator-Leigh-Seiberg

TL;DR

This paper derives the linearity principle for N=1 super Yang-Mills theories' confinement phase using advanced techniques, extending understanding of gauge theories with specific matter representations.

Contribution

It provides a derivation of the linearity principle for a class of supersymmetric gauge theories employing Dijkgraaf-Vafa techniques.

Findings

Derivation of the linearity principle for semi-simple gauge groups.

Application of Dijkgraaf-Vafa techniques to confinement phases.

Extension to non-chiral matter representations under certain assumptions.

Abstract

Utilizing the techniques recently developed for N=1 super Yang-Mills theories by Dijkgraaf, Vafa and collaborators, we derive the linearity principle of Intriligator, Leigh and Seiberg, for the confinement phase of the theories with semi-simple gauge groups and matters in a non-chiral representation which satisfies a further technical assumption.