H-Dyons and S-Duality

TL;DR

This paper argues that H-dyon states predicted by S-duality in heterotic string theory are present if BPS dyons in N=4 supersymmetric Yang-Mills theory exist, and suggests H-dyons at certain singularities are BPS dyons.

Contribution

It provides a simple argument linking heterotic string H-dyons to BPS dyons in supersymmetric Yang-Mills theory and conjectures their equivalence at specific singularities.

Findings

H-dyons are present if BPS dyons are present in N=4 SYM.

H-dyons at singularities are conjectured to be BPS dyons.

Evidence supports the conjecture relating H-dyons and BPS dyons.

Abstract

We present a relatively simple argument showing that the H-dyon states required by S-duality of the heterotic string on $T^6$ are present provided that the BPS dyons required by S-duality of N=4 supersymmetric Yang-Mills theory are present. We also conjecture and provide evidence that H-dyons at singularities where the nonperturbative gauge symmetry is completely broken are actually BPS dyons.