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arXiv 1609.09050hep-th
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$\mathcal{N}=2$超对称规范理论的配分函数和二维Yang-Mills理论

Partition function of $\mathcal{N}=2$ supersymmetric gauge theory and two-dimensional Yang-Mills theory

Xinyu Zhang

摘要:

本文研究了自对偶$Ω$背景下含$2N$基本超多重态的四维$\mathcal{N}=2$超对称$U(N)$规范理论。该配分函数在参数空间的特殊点处进行了简化,并与$S^{2}$上的二维Yang-Mills理论的配分函数有关.我们还考虑了在二维Yang-Mills理论中插入威尔逊圈算符,并在四维$\mathcal{N}=2$规范理论中找到了相应的算符。

英文摘要:

We study four-dimensional $\mathcal{N}=2$ supersymmetric $U(N)$ gauge theory with $2N$ fundamental hypermultiplets in the self-dual $Ω$-background. The partition function simplifies at special points of the parameter space and is related to the partition function of two-dimensional Yang-Mills theory on $S^{2}$. We also consider the insertion of a Wilson loop operator in two-dimensional Yang-Mills theory and find the corresponding operator in the four-dimensional $\mathcal{N}=2$ gauge theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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