Massless Monopoles Via Confining Phase Superpotentials

TL;DR

This paper explores the structure of massless monopoles in supersymmetric gauge theories by deriving effective superpotentials, providing insights into the Coulomb phase and confinement phenomena.

Contribution

It introduces a method to obtain monopole structures from superpotentials in supersymmetric theories with a Coulomb phase.

Findings

Derived effective superpotentials for $N=2$, $SU(N_c)$ gauge theories.

Connected superpotentials to Coulomb phase curves.

Provided a technique to analyze monopoles via confining phase superpotentials.

Abstract

We discuss how the structure of massless monopoles in supersymmetric theories with a Coulomb phase can be obtained from effective superpotentials for a phase with a confined photon. To illustrate the technique, we derive effective superpotentials which can be used to derive the curves which describe the Coulomb phase of $N=2$, $SU(N_c)$ gauge theory with $N_f<N_c$ flavors.