The Amplituhedron BCFW Triangulation
Mathematical Physics
2026-02-24 v6 High Energy Physics - Theory
Algebraic Geometry
Combinatorics
math.MP
Abstract
The amplituhedron Ank4 is a geometric object, introduced by Arkani-Hamed and Trnka (2013) in the study of scattering amplitudes in quantum field theories. They conjecture that Ank4 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.
Cite
@article{arxiv.2112.02703,
title = {The Amplituhedron BCFW Triangulation},
author = {Chaim Even-Zohar and Tsviqa Lakrec and Ran J. Tessler},
journal= {arXiv preprint arXiv:2112.02703},
year = {2026}
}