标题： 关于超共形线缺陷的多点Ward恒等式 显示英文标题

标题： On multipoint Ward identities for superconformal line defects

摘要： 超共形Ward恒等式在超共形线缺陷的背景下被重新研究。 在超共形线上插入的拓扑算符的多点关联函数被研究。 特别是，已知保留足够超对称性的保护算符在进行拓扑扭曲后变为拓扑算符。 根据定义，这样的关联函数在拓扑极限下是常数。 通过分析这些算符的OPE上的拓扑约束，关联函数在远离此极限时进一步受到约束。 多点关联函数的约束在四点函数的情况下与已知的超共形Ward恒等式相匹配。 这使得能够简单且普遍地推导出控制此类算符多点关联函数的超共形Ward恒等式。 该概念通过具有$su(2)$R对称性的1/2-BPS算符进行说明，并在四维$\mathcal{N}=4$超Yang-Mills理论中1/2-BPS威尔逊线的位移多重态情况下进一步探讨，支持文献中提出的多点Ward恒等式。 显示英文摘要

摘要： Superconformal Ward identities are revisited in the context of superconformal line defects. Multipoint correlators of topological operators inserted on superconformal lines are studied. In particular, it is known that protected operators preserving enough of the supersymmetry become topological after performing a topological twist. By definition, such a correlator is constant in the topological limit. By analysing the topological constraint on the OPE of such operators, the correlator is further constrained away from this limit. The constraints on multipoint correlators match the known superconformal Ward identities in the case of 4-point functions. This allows for an simple and universal derivation of the superconformal Ward identities governing the multipoint correlation functions of such operators. This concept is illustrated by 1/2-BPS operators with an $su(2)$ R-symmetry and further explored in the case of the displacement multiplet on the 1/2-BPS Wilson line in 4d $\mathcal{N}=4$ super Yang-Mills theory supporting the conjectured multipoint Ward identities in the literature.