Self-Dual Strings and Stability of BPS States in N=2 SU(2) Gauge Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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27 LaTex with figs., Some changes in W-boson decay discussion, Refs. added

Scientific paper

10.1016/S0550-3213(96)00656-6

We show how BPS states of supersymmetric SU(2) Yang-Mills with matter -both massless and massive- are described as self-dual strings on a Riemann surface. This connection enables us to prove the stability and the strong coupling behaviour of these states. The Riemann surface naturally arises from type-IIB Calabi-Yau compactifications whose three-branes wrapped around vanishing two-cycles correspond to one-cycles on this surface.

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