On the Existence of States Saturating the Bogomol'nyi Bound in N=4 Supersymmetry

Details On the Existence of States Saturating the Bogomol'nyi Bound in N=4 Supersymmetry On the Existence of States Saturating the Bogomol'nyi Bound in N=4 Supersymmetry

1995-05-31

arxiv.org/abs/hep-th/9505187v3

Phys.Lett. B377 (1996) 67-75

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, plain Latex. Revised version accepted by Phys. Lett. B (at last!)

Scientific paper

10.1016/0370-2693(96)00346-2

We give an argument showing that in N=4 supersymmetric gauge theories there exists at least one bound state saturating the Bogomol'nyi bound with electric charge $p$ and magnetic charge $q$, for each $p$ and $q$ relatively prime, and we comment on the uniqueness of such state. This result is a necessary condition for the existence of an exact S-duality in N=4 supersymmetric theories.

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