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

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.

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

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Cited by in corpus (18)

• Lectures on Superstring and M Theory Dualities
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• BPS Monopoles
• Massive and massless monopoles with nonabelian magnetic charges
• String Junctions and BPS States in Seiberg-Witten Theory
• On S-duality for Non-Simply-Laced Gauge Groups
• Semi-classical Quantization in N=4 Supersymmetric Yang-Mills Theory and Duality
• Multi-Pronged Strings and BPS Saturated Solutions in SU(N) Supersymmetric Yang-Mills Theory
• Duality in String Theory
• Self-Dual Strings and Stability of BPS States in N=2 SU(2) Gauge Theories
• The dyon spectra of finite gauge theories
• On the weak coupling spectrum of N=2 supersymmetric SU(n) gauge theory
• BPS Geodesics in N=2 Supersymmetric Yang-Mills Theory
• A Family of N=2 Gauge Theories with Exact S-Duality
• Duality and Supersymmetric Monopoles
• Duality and BPS spectra in N=2 supersymmetric QCD
• H-Dyons and S-Duality