S-duality in N=4 supersymmetric gauge theories

TL;DR

This paper extends the S-duality conjecture in N=4 supersymmetric Yang-Mills theories to include a non-zero vacuum angle, providing new predictions for the spectrum of dyons in theories with arbitrary gauge groups.

Contribution

It generalizes the electric-magnetic duality conjecture to cases with non-zero vacuum angle and non-abelian unbroken gauge groups, offering new spectrum predictions.

Findings

Extended S-duality includes non-zero vacuum angle cases.

Predicted spectrum of dyons for arbitrary gauge groups.

Confirmed consistency with existing duality frameworks.

Abstract

The Goddard, Nuyts and Olive conjecture for electric-magnetic duality in Yang-Mills theory with an arbitrary gauge group G is extended by including a non-vanishing vacuum angle $\theta$. This extended S-duality conjecture includes the case when the unbroken gauge group is non-abelian and a definite prediction for the spectrum of dyons results.