Monopole dynamics in N = 2 super Yang-Mills theory from a threebrane probe

The BPS states of N = 2 super Yang-Mills theory with gauge group SU(2) are constructed as non-trivial finite-energy solutions of the world-volume theory of a threebrane probe in F-theory. The solutions preserve 12 of N = 2 supersymmetry and provide a world-volume realization of strings stretching from the probe to a sevenbrane. The positions of the sevenbranes correspond to singularities in the field theory moduli space and to points at which the supergravity description of the probe breaks down. We explicitly show how the UV cut-off of the effective field theory is mapped into an IR cut-off in the supergravity. Finally, we discuss some features of the moduli spaces of these solutions.