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arXiv 0806.3727hep-th
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椭圆型Maxwell-Chern-Simons理论的模空间

On the moduli space of elliptic Maxwell-Chern-Simons theories

Yosuke Imamura, Keisuke Kimura

摘要:

我们分析了用圆图描述的3维N=3 Maxwell-Chern-Simons理论的低能极限的模空间,对于4维椭圆模型也是如此.我们定义的理论使用D3-NS 5-(k,1)5膜系统与任意数量的fivebrane。在低能极限下,超对称性有望增强到N=4。我们证明了希格斯分支是C^4的阿贝尔轨道,在希格斯分支中,所有的双基本标量场都发展出真空期望值。我们确认,相同的几何获得作为膜系统的M-理论对偶。我们还考虑了通过引入两种以上的五膜实现的理论,并得到了非环面四重作为模空间。

英文摘要:

We analyze the moduli space of the low-energy limit of 3-dimensional N=3 Maxwell-Chern-Simons theories described by circular quiver diagrams, as for 4-dimensional elliptic models. We define the theories by using D3-NS5-(k,1)5-brane systems with an arbitrary number of fivebranes. The supersymmetry is expected to be enhanced to N=4 in the low-energy limit. We show that the Higgs branch, in which all bifundamental scalar fields develop vacuum expectation values, is an abelian orbifold of C^4. We confirm that the same geometry is obtained as an M-theory dual of the brane system. We also consider theories realized by introducing more than two kinds of fivebranes, and obtain nontoric fourfolds as moduli spaces.

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