Monopole and Dyon Bound States in N=2 Supersymmetric Yang-Mills Theories

Details Monopole and Dyon Bound States in N=2 Supersymmetric Yang-Mills Theories Monopole and Dyon Bound States in N=2 Supersymmetric Yang-Mills Theories

1995-08-24

arxiv.org/abs/hep-th/9508117v1

Nucl.Phys. B457 (1995) 484-512

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, harvmac

Scientific paper

10.1016/0550-3213(95)00517-X

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.

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