论文标题

威尔逊循环作为n = 2个共形场理论中的缺陷

Wilson loops as defects in N=2 conformal field theories

论文作者

Galvagno, Francesco

论文摘要

在本论文中,我们考虑了在Wilson Loop等线路缺陷的情况下,考虑了四个维度N = 2超符合场理论。在此设置中,使用超对称性定位,我们计算了许多可观察到的物体,例如威尔逊环的真空期望值,与手性算子的相关功能以及沿威尔逊环路轨迹移动的带电粒子的发射辐射。这些结果是通过在四个球体上利用局部矩阵模型来实现的,并根据n = 1 superspace形式主义的平坦空间进行扰动计算,在扰动理论中最多四个循环。

In this thesis we consider four dimensional N=2 superconformal field theories, in presence of line defects such as Wilson loops. In this set up, using supersymmetric localization, we compute many observables, such as the vacuum expectation value of the Wilson loop, correlation functions with chiral operators and the emitted radiation of the charged particle moving along the Wilson loop trajectory. These results are achieved by exploiting the localized matrix model on a four sphere, and checked against a perturbative computation on the flat space in N=1 superspace formalism, up to four loops in perturbation theory.

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