Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory. (English) Zbl 0996.81510
Summary: We study the vacuum structure and dyon spectrum of \(N=2\) supersymmetric gauge theory in four dimensions, with gauge group SU(2). The theory turns out to have remarkably rich and physical properties which can nonetheless be described precisely; exact formulas can be obtained, for instance, for electron and dyon masses and the metric on the moduli space of vacua. The description involves a version of Olive-Montonen electric-magnetic duality. The “strongly coupled” vacuum turns out to be a weakly coupled theory of monopoles, and with a suitable perturbation confinement is described by monopole condensation.
MSC:
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 11Z05 | Miscellaneous applications of number theory |
| 14H52 | Elliptic curves |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
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