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

Abstract

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.

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

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• String Junctions and BPS States in Seiberg-Witten Theory
• Instanton Expansions for Mass Deformed N=4 Super Yang-Mills Theories
• Logarithmic Conformal Field Theory and Seiberg-Witten Models
• N=2 Superconformal Field Theory with ADE Global Symmetry on a D3-brane Probe
• The dyon spectra of finite gauge theories
• Isomonodromic Properties of the Seiberg-Witten Solution
• Softly Broken N=2 QCD with Massive Quark Hypermultiplets, II
• Long Range Forces and Supersymmetric Bound States
• Monopole Dynamics in N=2 super Yang-Mills Theory From a Threebrane Probe
• BPS Geodesics in N=2 Supersymmetric Yang-Mills Theory
• Properties of the partition function of $\mathcal{N}=2$ supersymmetric QCD with massive matter
• Geodesics and BPS States in N=2 Supersymmetric QCD
• Comments on Duality in MQCD
• On the Moduli Space of SU(3) Seiberg-Witten Theory with Matter
• The rigid limit in Special Kähler geometry for SU(2) SYM with a massive quark hypermultiplet