发表机构
Indian Institute of Science Education and Research（印度科学教育与研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明宇宙学Grassmannian统一了平坦空间振幅中的多种结构，并展示了四点胶子关联函数满足精确的Jacobi恒等式，且引力子关联函数与BCFW结果一致。
AI 中文摘要
本文表明，宇宙学Grassmannian为研究平坦空间振幅中熟悉的多种结构提供了一个统一框架，包括Yang-Mills运动学分子数的Jacobi恒等式、颜色-运动学对偶性、双重与$s$-copy关系以及微分BCJ关系。例如，我们展示了四点胶子关联函数给出精确的运动学Jacobi恒等式$n_s+n_t+n_u=0$，而由颜色-运动学双重拷贝得到的引力子关联函数与相应的BCFW结果在所有交换通道的正则项上一致。
英文摘要
In this paper, we show that the cosmological Grassmannian provides a unified framework for studying several structures familiar from flat-space amplitudes, including Jacobi identities for Yang--Mills kinematic numerators, color--kinematics duality, double- and $s$-copy relations, and differential BCJ relations. For example, we show that the four-point gluon correlator gives exact kinematical Jacobi identity $n_s+n_t+n_u=0,$ and the graviton correlator obtained from the color-kinematics double copy agrees with the corresponding BCFW result upto terms regular in all the exchange channels.
Comments14 pages main text, no appendix
