We derive the anomalous conformal Ward identities for N $$ \mathcal{N} $$ = 4 SYM Wilson loops on polygon-like contours with edges formed by circular arcs. With a suitable choice of parameterisation they are very similarly to those for local correlation functions. Their solutions have a conformally covariant factor depending on the distances of the corners times a conformally invariant remainder factor depending, besides on cross ratios of the corners, on the cusp angles and angles parameterising the torsion of the contours.

中文翻译：

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关于威尔逊环在具有圆形边缘的多边形轮廓上的异常保形 Ward 恒等式

我们推导出了 N $$ \mathcal{N} $$ = 4 SYM Wilson 循环的异常保形 Ward 恒等式，这些循环位于多边形状轮廓上，边缘由圆弧形成。具有合适的参数选择，它们与本地相关函数的相似之处。他们的解决方案有一个共形协变因子，取决于角的距离乘以一个共形不变的剩余因子，除了角的交叉比之外，还取决于尖角和角度参数化轮廓的扭转。