SUSY Localization for Coulomb Branch Operators in Omega-Deformed 3d $$\mathcal {N}$$ = 4 Gauge Theories
SUSY Localization for Coulomb Branch Operators in Omega-Deformed 3d $$\mathcal {N}$$ = 4 Gauge Theories
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Omega 变形 3d $$mathcal {N}$$ = 4 规范理论中库仑支算子的 SUSY 定位
DOI：
10.1007/s00220-022-04578-5
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发表时间：
2022
影响因子：
2.4
通讯作者：
Yoshida Yutaka
中科院分区：
文献类型：
--
作者：
Okuda Takuya;Yoshida Yutaka
本文对带形变的三维规范理论的库仑分支算符进行了超对称定域。我们的研究提供了一个路径积分的基础，所谓的阿贝尔化程序已被用来研究库仑分支。对于期望值不包含非微扰修正的dressed算子，我们的计算再现了阿贝尔化的结果。对于U（N）规范理论中的其他算符的期望值和多重算符的关联函数，我们利用弦理论（膜）构造的矩阵模型计算了由微扰泡引起的非微扰修正.我们将局部化的结果与数学文献中讨论的代数结构联系起来，并且还揭示了4d规范理论中的线算子的类似关系。对于三维U（N）（N）规范理论，我们证明了矩阵模型中的穿墙与算符序之间的直接对应。
We perform SUSY localization for Coulomb branch operators of 3dgauge theories inwith-deformation. Our study provides a path integral foundation to the so-called abelianization procedure that has been used to study the Coulomb branch. For the dressed monopole operators whose expectation values do not involve non-perturbative corrections, our computations reproduce the results of abelianization. For the expectation values of other operators and the correlation functions of multiple operators inU(N) gauge theories, we compute the non-perturbative corrections due to monopole bubbling using matrix models obtained by string theory (brane) construction. We relate the results of localization to algebraic structures discussed in the mathematical literature, and also uncover a similar relation for line operators in 4dgauge theories. ForU(N) (quiver) gauge theories in 3d we demonstrate a direct correspondence between wall-crossing in matrix models and the ordering of operators.