Localization on D-brane and Gauge theory/Matrix model
Localization on D-brane and Gauge theory/Matrix model
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D 膜和规范理论/矩阵模型的定位
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
So Matsuura
中科院分区：
文献类型：
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作者：
So Matsuura
在这次演讲中，我讨论了四维N = 2超对称规范理论[1]和基于工作[2]的二维（玻色子）规范理论的瞬时计数之间的关系。让我们考虑R×C×M4上的IIB型超弦理论，其中em4是一个四维ALE空间。如果Nc - d5膜在M4中的2环Σ上缠绕，则4D SU(Nc) N = 2 SYM理论出现在d5膜上的额外R1,3空间上，除了紧化的2环。我们还引入了R1,3时空的非交换性，它不影响N = 2 SYM理论的瞬时子对预势的贡献。根据大N约化和非交换性的概念，将d5膜上的规范理论简化为内2环上的二维大N拓扑场理论。通过计算d弦上与d -瞬子耦合的算子的真空期望值，并考虑到4D SYM的模参数，我们得到了二维广义Yang-Mills理论的配分函数[2]。
In this talk, I talked about the relation between the instanton counting of four-dimensional N = 2 supersymmetric gauge theories [1] and two-dimensional (bosonic) gauge theories based on the work [2]. Let us consider Type IIB superstring theory on R×C×M4, whereM4 is a four-dimensional ALE space. If Nc D5-branes are wrapped on a 2-cycle Σ in M4, 4D SU(Nc) N = 2 SYM theory appears on the extra R1,3 space on the D5-branes except for the compactified 2-cycle. We also introduce a noncommutativity to the R1,3 space-time, which does not affect the instanton contribution to the prepotential of the N = 2 SYM theory. According to the concept of the large N reduction and the noncommutativity, the gauge theory on the D5-branes reduces to a two-dimensional large N topological field theory on the internal 2-cycle. By evaluating the vacuum expectation value of an operator which couples to D-instanton on the D-strings and taking into account the moduli parameters of the 4D SYM, we found that we obtain the partition function of the two-dimensional generalized Yang-Mills theory [2],