Hanany-Witten effect and SL(2, ℤ) dualities in matrix models
Hanany-Witten effect and SL(2, ℤ) dualities in matrix models
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矩阵模型中的 Hanany-Witten 效应和 SL(2, ℤ) 对偶性
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发表时间：
2014
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通讯作者：
Benjamin Assel
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作者：
Benjamin Assel
本文通过在S3上匹配它们的精确配分函数，给出了在IIB弦理论中具有膜实现的三维N=4 mathcal{N}=4 mathcal SCFT的对偶性检验。对偶性是由SL（2，λ）变换和Hanany-Witten 5-膜移动产生的。这些包含镜像对称性以及识别杨-米尔斯颤动和陈-西蒙斯理论的不动点的对偶性。配分函数由矩阵模型给出，可以很好地重新排列成一系列模拟膜实现的因子。这些基本因子所服从的恒等式可以用来匹配对偶理论的配分函数，为对偶性的完整网络提供检验。特别是，我们能够检查镜像对称的线性和圆形箭与规范节点的任意职级。我们的分析还导致了一个证明的公式评估的矩阵模型的线性矩阵SCFT。
A bstractWe provide tests of dualities for three-dimensional N=4$$ mathcal{N}=4 $$ quiver SCFTs with brane realizations in IIB string theory, by matching their exact partition functions on S3. The dualities are generated by SL(2, ℤ) transformations and Hanany-Witten 5-brane moves. These contain mirror symmetry as well as dualities identifiying fixed points of Yang-Mills quivers and Chern-Simons theories. The partition function is given by a matrix model, that can be nicely rearranged into a sequence of factors mimicking the brane realization. Identities obeyed by these elementary factors can be used to match the partition functions of dual theories, providing tests for the full web of dualities. In particular we are able to check mirror symmetry for linear and circular quivers with gauge nodes of arbitrary ranks. Our analysis also leads to a proof of a conjectured formula evaluating the matrix models of linear quiver SCFTs.