Singular monopoles and supersymmetric gauge theories in three dimensions
Singular monopoles and supersymmetric gauge theories in three dimensions
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三维奇异单极子和超对称规范理论
DOI：
10.1016/s0550-3213(98)00341-1
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
A. Kapustin
中科院分区：
文献类型：
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作者：
Sergey A. Cherkis;A. Kapustin
根据Hanany和维滕的建议，N = 4的三维SU（n）规范理论的库仑分支与BPS磁单极的模空间是等距的。我们将这个建议推广到有物质的规范理论，这使我们能够通过超凯勒商构造来描述它们的真空空间上的度量。为了检查模空间的识别比较与场论的预测。对于具有k个基本超多重态的SU（2）理论，库仑分支被期望为DkALF引力瞬子，因此我们的结果导致了这样的空间的构造.在SU（2）理论的四个或更少的基本超多重态的特殊情况下，我们计算了模空间上的复结构，并将它们与场论结果进行了比较。我们还讨论了三维N = 4理论的膜实现的一些难题。
According to the proposal of Hanany and Witten, Coulomb branches of N = 4 SU(n) gauge theories in three dimensions are isometric to moduli spaces of BPS monopoles. We generalize this proposal to gauge theories with matter, which allows us to describe the metrics on their spaces of vacua by means of the hyper-Kähler quotient construction. To check the identification of moduli spaces a comparison is made with field theory predictions. For SU(2) theory with k fundamental hypermultiplets the Coulomb branch is expected to be the DkALF gravitational instanton, so our results lead to a construction of such spaces. In the special case of SU(2) theory with four or fewer fundamental hypermultiplets we calculate the complex structures on the moduli spaces and compare them with field-theoretical results. We also discuss some puzzles with brane realizations of three-dimensional N = 4 theories.