Three-dimensional gauge theories and monopoles

被引:51
作者
Chalmers, G [1 ]
Hanany, A [1 ]
机构
[1] INST ADV STUDY,SCH NAT SCI,PRINCETON,NJ 08540
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0550-3213(97)00036-9
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The Coulomb branch of N = 4 supersymmetric Yang-Mills gauge theories in d = 2 + 1 is studied. A direct connection between gauge theories and monopole moduli spaces is presented. It is proposed that the hyper-Kahler metric of supersymmetric N = 4 SU(N) Yang-Mills theory is given by the charge N centered moduli space of BPS monopoles in SU(2). The theory is compared to N = 2 supersymmetric Yang-Mills theory in four dimensions through compactification on a circle of the latter. It is found that rational maps are appropriate to this comparison. A BPS mass formula is also written for particles in three dimensions and strings in four dimensions. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:223 / 244
页数:22
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