标题： 超空间不变量和四维$\mathcal{N}=1$超共形场理论中的关联函数 显示英文标题

标题： Superspace invariants and correlators in 4d $\mathcal{N}=1$ superconformal field theories

摘要： 使用极化旋子方法结合超空间形式，我们构造了三点超共形不变量，这些不变量用于确定四维$\mathcal{N}=1$超共形场理论（SCFTs）中自旋超场算符三点关联函数的形式。我们利用这些不变量列举了各种自旋三点关联函数的结构形式，并发现当算符为守恒超流时，它们的形式会受到额外约束。为此，我们首先在非超对称的$4d$CFTs 中构造不变量和三点关联函数，然后通过超空间方法将其扩展到$4d$SCFTs。 显示英文摘要

摘要： Using polarization spinor methods in conjunction with the superspace formalism, we construct 3-point superconformal invariants that are used to determine the form of 3-point correlators of spinning superfield operators in $\mathcal{N}=1$ superconformal field theories (SCFTs) in 4-dimensions. We enumerate the structural form of various spinning 3-point correlators using these invariants and find additional constraints on their form when the operators are conserved supercurrents. For these purposes, we first construct the invariants and 3-point correlators in non-supersymmetric $4d$ CFTs which are then extended using superspace methods to $4d$ SCFTs.