Exact results for ’t Hooft loops in Gauge theories on S4
Exact results for ’t Hooft loops in Gauge theories on S4
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DOI：
10.1007/jhep05(2012)141
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发表时间：
2011-05
影响因子：
5.4
通讯作者：
J. Gomis;T. Okuda;V. Pestun
中科院分区：
文献类型：
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作者：
J. Gomis;T. Okuda;V. Pestun
在存在一个超对称非Hooft环算子的情况下，精确地求出广义超对称规范理论在s4上的路径积分。我们发现的结果——使用局域化技术获得——捕获了所有的微扰量子修正以及由瞬子和单极子引起的非微扰效应，它们被支持在s4的北极、南极和赤道。作为一个副产品，我们的规范理论计算成功地证实了在Liouville/Toda共形场理论中通过计算拓扑缺陷相关器得到的霍夫特环的预测。
The path integral of a generalsupersymmetric gauge theory on S 4 is exactly evaluated in the presence of a supersymmetric’t Hooft loop operator. The result we find—obtained using localization techniques—captures all perturbative quantum corrections as well as non-perturbative effects due to instantons and monopoles, which are supported at the north pole, south pole and equator of S 4. As a by-product, our gauge theory calculations successfully confirm the predictions made for’t Hooft loops obtained from the calculation of topological defect correlators in Liouville/Toda conformal field theory.