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