Simple singularities and N = 2 supersymmetric Yang-Mills theory
Simple singularities and N = 2 supersymmetric Yang-Mills theory
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简单奇点和 N = 2 超对称 Yang-Mills 理论
DOI：
10.1016/0370-2693(94)01516-f
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发表时间：
1994
影响因子：
4.4
通讯作者：
S. Theisen
中科院分区：
文献类型：
--
作者：
A. Klemm;W. Lerche;S. Yankielowicz;S. Theisen
我们提出了将Seiberg和维滕关于N = 2超对称Yang-Mills理论的工作推广到任意规范群的第一步，具体地说，我们提出了一个特殊的超椭圆亏格n − 1黎曼曲面序列，作为SU（n）N = 2超对称规范理论量子模空间的基础。这些曲线对任意单缀层规范群有明显的推广，其中包括A-D-E型单奇点。为了支持我们的建议，我们认为，在半经典制度的单值性是正确的复制。我们也给出了一些意见的可能关系到弦理论。
We present a first step towards generalizing the work of Seiberg and Witten on N = 2 supersymmetric Yang-Mills theory to arbitrary gauge groups.Specifically, we propose a particular sequence of hyperelliptic genus n − 1 Riemann surfaces to underly the quantum moduli space of SU(n)N = 2 supersymmetric gauge theory. These curves have an obvious generalization to arbitrary simply laced gauge groups, which involves the A-D-E type simple singularities. To support our proposal, we argue that the monodromy in the semiclassical regime is correctly reproduced. We also give some remarks on a possible relation to string theory.