Monopole and Dyon Bound States in N=2 Supersymmetric Yang-Mills Theories
arXiv:hep-th/9508117 · doi:10.1016/0550-3213(95)00517-X
Abstract
We study the existence of monopole bound states saturating the BPS bound in N=2 supersymmetric Yang-Mills theories. We describe how the existence of such bound states relates to the topology of index bundles over the moduli space of BPS solutions. Using an $L^2$ index theorem, we prove the existence of certain BPS states predicted by Seiberg and Witten based on their study of the vacuum structure of N=2 Yang-Mills theories.
34 pages, harvmac