Abstract
These notes are based on work done in collaboration with Frank Ferrari. We show how to determine the spectra of stable BPS states in N = 2 supersymmetric SU (2) Yang-Mills theories that are asymptotically free, i.e. without and with N f = 1, 2, 3 quark hypermultiplets. In all cases: • • There is a curve of marginal stability diffeomorphic to a circle and going through all (finite) singular points of moduli space. • • The BPS spectra are discontinuous across the curves. • • The strong-coupling spectra (inside the curves) contain only those BPS states that can become massless and are responsible for the singularities. Except for N f = 3, they form a multiplet (with different masses) of the broken global discrete symmetry. • • All other semi-classical BPS states must and do decay consistently when crossing the curves. • • The weak-coupling, i.e. semi-classical BPS spectra, contain no magnetic charges larger than one for N f = 0, 1, 2 and no magnetic charges larger than two for N f = 3.
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