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arXiv · hep-th/9608105

Three Dimensional Gauge Theories and Monopoles

Gordon Chalmers·Amihay Hanany
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Abstract

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-Kähler 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.

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Gordon Chalmers, Amihay Hanany. 1996-08-23. Three Dimensional Gauge Theories and Monopoles. https://doi.org/10.1016/s0550-3213(97)00036-9

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