The amplituhedron BCFW triangulation

• 成果类型: Article
• 署名作者: Even-Zohar, Chaim; Lakrec, Tsviqa; Tessler, Ran J.
• 署名单位: Technion Israel Institute of Technology; University of Zurich; Weizmann Institute of Science
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-025-01316-1
• 发表日期: 2025
• 页码: 1009-1138
• 关键词: cells

摘要

The amplituhedron An,k,4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{A}_{n,k,4}$\end{document} is a geometric object, introduced by Arkani-Hamed and Trnka (2013) in the study of scattering amplitudes in quantum field theories. They conjecture that An,k,4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal{A}_{n,k,4}$\end{document} admits a decomposition into images of BCFW positroid cells, arising from the Britto-Cachazo-Feng-Witten recurrence (2005). We prove that this conjecture is true.