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Wilson loops in 5d long quiver gauge theories
Journal of High Energy Physics ( IF 5.4 ) Pub Date : 2020-09-01 , DOI: 10.1007/jhep09(2020)145
Christoph F. Uhlemann

Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each individual gauge node, for a sample of 5d long quiver gauge theories whose UV fixed points have holographic duals in Type IIB. The sample includes the TN theories and the results are uniformly given in terms of Bloch-Wigner functions. The holographic representation of the Wilson loops is identified. It comprises, for each supergravity solution, a two-parameter family of D3-branes which exactly reproduce the field theory results and identify points in the internal space with the faces of the associated 5-brane web. The expectation values of (anti)fundamental Wilson loops exhibit an enhanced scaling for many operators, which matches between field theory and supergravity.

中文翻译:

威尔逊在 5d 长箭袋规范理论中循环

具有大量节点的箭袋规范理论承载着大量的威尔逊环算子。对于 5d 长箭袋规范理论样本,其 UV 固定点在类型 IIB 中具有全息对偶,使用超对称定位获得了与每个单独规范节点相关联的反对称表示中的威尔逊环的期望值。样本包括 TN 理论,结果均以 Bloch-Wigner 函数形式给出。识别威尔逊环的全息表示。对于每个超重力解决方案,它包括一个双参数 D3 膜族,这些 D3 膜精确地再现了场论结果,并用相关的 5 膜网的面识别内部空间中的点。(反)基波威尔逊环的期望值对许多算子表现出增强的缩放,
更新日期:2020-09-01
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