Some properties of unstable monopoles in Super-QCD

TL;DR

This paper investigates unstable monopole solutions in Super-QCD, analyzing their properties, zero modes, and potential roles in N=1 duality, with implications for understanding dual gauge groups.

Contribution

It introduces the embedding of Prasad-Sommerfield monopoles in SU(N) Super-QCD and explores their zero modes and duality implications, extending prior monopole studies to supersymmetric gauge theories.

Findings

Monopoles live in phases with unbroken SU(k) subgroups.

Zero modes behave as massive chiral superfields with specific charges.

Potential links between GNO dual groups and N=1 duality are discussed.

Abstract

We study embeddings of the Prasad-Sommerfield monopole solution in SU(N) Super-QCD (N>2), where the role of the Higgs field is played by the squarks in the fundamental representation. Classically, the resulting configurations live in a phase with unbroken SU(k) subgroups of SU(N) (as a result they are not topologically stable). The structure of zero modes is such that they can be naturally interpreted as massive chiral superfields with R charge one and baryon number zero, transforming in the adjoint representation of a dual gauge group defined using the Goddard-Nuyts-Olive (GNO) framework. We discuss the possible applications of these monopoles to N=1 duality, and more generally the possibility of relating GNO-type dual gauge groups to those appearing in N=1 duality.