Amplituhedra 与折纸,II:圈层次
Amplituhedra and origami, II: loop level
AI总结:
基于折纸-振幅多面体对应,证明了BCFW细胞在所有圈阶上完全三角剖分m=4振幅多面体,并发展了正Grassmannian的两种L-穿孔扩展并通过T-对偶关联。
摘要:
基于最近发现的折纸-振幅多面体对应,我们证明了BCFW(Britto-Cachazo-Feng-Witten)细胞在所有圈阶上完全三角剖分$m=4$振幅多面体,无论是在动量空间还是动量-twistor空间。在此过程中,我们发展了正Grassmannian的两种自然的“$L$-穿孔”扩展,并通过T-对偶将它们联系起来。
英文摘要:
Building on the recently discovered origami-amplituhedron correspondence, we prove that the BCFW (Britto-Cachazo-Feng-Witten) cells triangulate the $m=4$ amplituhedron in full generality at all loop orders, both in momentum and momentum-twistor space. Along the way, we develop two natural "$L$-punctured" extensions of the positive Grassmannian and relate them via T-duality.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。