The m=2 amplituhedron

Understand

The (tree) amplituhedron $\mathcal{A}_{n, k, m}$ is introduced by Arkani-Hamed and Trnka in 2013 in the study of $\mathcal{N}=4$ supersymmetric Yang-Mills theory.

• It is defined in terms of the totally nonnegative Grassmannians.
• In this paper, we show that the amplituhedron $\mathcal{A}_{n, k, m}$ for $m=2$ admits a triangulation.
• Our collection of cells is constructed via BCFW-type recursion.