S-Duality and the Dyon Spectrum in N=2 Super Yang-Mills Theory

TL;DR

This paper analyzes the dyon spectrum in N=2 Super Yang-Mills theory with gauge group SU(2), confirming duality predictions for low magnetic charges and discussing extensions to higher charges and special cases.

Contribution

It explicitly determines the dyon spectrum for magnetic charges one and two, aligning with Seiberg-Witten duality predictions, and explores higher charge monopoles in specific cases.

Findings

Spectrum matches duality predictions for low charges

Explicit spectrum for magnetic charges one and two

Predicted existence of harmonic spinors on monopole moduli space

Abstract

We study the dyon spectrum in $N=2$ Super Yang-Mills theory with gauge group $SU(2)$ coupled to $N_f$ matter multiplets in the fundamental representation. For magnetic charge one and two we determine the spectrum explicitly and show that it is in agreement with the duality predictions of Seiberg and Witten. We briefly discuss the extension to higher charge monopoles for the self-dual $N_f=4$ case and argue that the conjectured spectrum of dyons predicts the existence of certain harmonic spinors on the moduli space of higher charge monopoles.