Monopole dynamics and BPS dyons in N=2 super-Yang-Mills theories - art. no. 125012

We determine the low-energy dynamics of monopoles in pure N = 2 Yang-Mills theories for points in the vacuum moduli space where the two Higgs fields a re not aligned. The dynamics is governed by a supersymmetric quantum mechan ics with potential terms and four real supercharges. The corresponding supe ralgebra contains a central charge but nevertheless supersymmetric states p reserve all four supercharges. The central charge depends on the sign of th e electric charges and consequently so does the BPS spectrum. We focus on t he SU(3) case where certain BPS states are realized as zero modes of a Dira c operator on Taub-NUT space twisted by the triholomorphic Killing vector f ield. We show that the BPS spectrum includes hypermultiplets that are consi stent with the strong- and weak-coupling behavior of Seiberg-Witten theory.