On the Chiral Ring of N=1 Supersymmetric Gauge Theories

TL;DR

This paper investigates the quantum modifications of the chiral ring in pure N=1 supersymmetric SU(N) gauge theories, revealing a key relation involving the gaugino condensate and the dynamical scale.

Contribution

It demonstrates the exact quantum relation for the chiral ring, extending the classical relation with quantum corrections involving the dynamical scale.

Findings

Classical relation S^{N^2}=0 is modified to (S^N- ext{Lambda}^{3N})^N=0

Quantum effects alter the classical chiral ring structure

Provides insight into non-perturbative dynamics of supersymmetric gauge theories

Abstract

We consider the chiral ring of the pure N=1 supersymmetric gauge theory with SU(N) gauge group and show that the classical relation S^{N^2}=0 is modified to the exact quantum relation (S^N-\Lambda^{3N})^N=0.