Geometric realizations of BPS states in N = 2 theories Original Research Article

We study the BPS spectrum of the theory on a D3-brane probe in F-theory. The BPS states are realized by multi-string configurations in space-time. Only certain configurations obeying a selection rule give rise to BPS states in the four-dimensional probe theory. Using these string configurations, we determine the spectrum of N = 2 SU(2) Yang-Mills. We also explore the relation between multi-string configurations, M-theory membranes and self-dual strings.