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

M. Porrati
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Abstract

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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M. Porrati. 1996-01-31. On the Existence of States Saturating the Bogomol'nyi Bound in N=4 Supersymmetry. https://doi.org/10.1016/0370-2693(96)00346-2

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