Amplituhedron cells and Stanley symmetric functions

Abstract

The amplituhedron was recently introduced in the study of scattering amplitudes in $N=4$ super Yang-Mills. We compute the cohomology class of a tree amplituhedron subvariety of the Grassmannian to be the truncation of an affine Stanley symmetric function.

13 pages. Version 2: minor corrections

References in corpus (1)

• Total positivity, Grassmannians, and networks

Cited by in corpus (3)

• Positive Amplitudes In The Amplituhedron
• Evidence for a Nonplanar Amplituhedron
• Non-Planar On-Shell Diagrams