We study cluster adjacency conjectures for amplitudes in maximally supersymmetric Yang-Mills theory. We show that the n -point one-loop NMHV ratio function satisfies Steinmann cluster adjacency. We also show that the one-loop BDS-like normalized NMHV amplitude satisfies cluster adjacency between Yangian invariants and final symbol entries up to 9-points. We present conjectures for cluster adjacency properties of Plücker coordinates, quadratic cluster variables, and NMHV Yangian invariants that generalize the notion of weak separation.

中文翻译：

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关于 $$ \mathcal{N} $$ = 4 SYM 中的单循环簇邻接的注释

我们研究了最大超对称杨米尔斯理论中振幅的簇邻接猜想。我们表明 n 点单环 NMHV 比率函数满足 Steinmann 簇邻接。我们还表明，单环 BDS 类归一化 NMHV 幅度满足杨式不变量和最终符号条目之间的簇邻接关系，最高可达 9 点。我们提出了对 Plücker 坐标、二次簇变量和 NMHV Yangian 不变量的簇邻接属性的猜想，这些猜想概括了弱分离的概念。