TY - JOUR

T1 - Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory

AU - Seiberg, N.

AU - Witten, E.

N1 - Funding Information:
We would like to thank T. Banks for a useful discussion on confinement and condensation of magnetic monopoles, P. Deligne for some conceptual assistance, G. Moore for suggesting a possible role of hypergeometric functions, and C. Vafa for explaining certain two-dimensional results. We have also benefited from discussions with K. Intriligator, R. Leigh and S. Shenker. This work was supported in part by DOE grant #DE-FGO5-90ER40559 and in part by NSF grant PHY92-45317.

PY - 1994/9/5

Y1 - 1994/9/5

N2 - We study the vacuum structure and don 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.

AB - We study the vacuum structure and don 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.

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U2 - 10.1016/0550-3213(94)90124-4

DO - 10.1016/0550-3213(94)90124-4

M3 - Article

AN - SCOPUS:13644276850

SN - 0550-3213

VL - 426

SP - 19

EP - 52

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1

ER -