标题： 关于在$\mathcal{N}=4$ SYM 中带有威尔逊线的积分关联函数的一篇注记 显示英文标题

标题： A note on integrated correlators with a Wilson line in $\mathcal{N}=4$ SYM

摘要： 我们重新分析了局部算符与$\frac{1}{2}$-BPS Wilson 线在$\mathcal{N}=4$ SYM 中的积分两点函数。 在缺陷关联函数的参数化中包含合适的奇宇称项后，我们能够以交叉比的无约束函数形式求解超共形 Ward 恒等式。 利用这个一般解，我们得到了带有 Wilson 线的积分关联函数的积分测度的简单表达式。 我们通过在强耦合下对未积分关联函数的可用 bootstrap 表达式进行积分，并与超对称局部化预测进行比较，验证了我们的结果，发现完全一致。 显示英文摘要

摘要： We revisit the analysis of the integrated 2-point functions of local operators with a $\frac{1}{2}$-BPS Wilson line in $\mathcal{N}=4$ SYM. After including suitable parity-odd terms in the parametrization of the defect correlators, we are able to solve the superconformal Ward identities in terms of an unconstrained function of the cross-ratios. Exploiting this general solution, we obtain a simple expression of the integration measure for the integrated correlators with a Wilson line. We test our result by integrating the available bootstrap expression of the unintegrated correlator at strong coupling against the predictions of supersymmetric localization, finding perfect agreement.