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arXiv 2005.07177hep-th
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关于N = 4 SYM中单循环簇邻接的注记

A Note on One-loop Cluster Adjacency in N = 4 SYM

Jorge Mago, Anders Schreiber, Marcus Spradlin, Anastasia Volovich

摘要:

本文研究了极大超对称杨-米尔斯理论中振幅的集团邻接图。我们证明了n点单圈NMHV比函数满足Steinmann簇邻接性。我们还表明,一个循环的BDS样归一化的NMHV振幅满足集群邻接杨不变量和最后的符号条目之间的9点。我们提出了聚类邻接性质的Plücker坐标,二次聚类变量,和NMHV Yangian不变量,推广了弱分离的概念。

英文摘要:

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.

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