On the face stratification of the m=2 amplituhedron

2024/03/11 by Lam, Thomas · 2 citations
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2403.06948

Abstract

We define and study the face stratification of the m=2 amplituhedron. We show that the face poset is an upper order ideal in the face poset of the totally nonnegative Grassmannian. Our construction is consistent with earlier work of Lukowski, and we confirm various predictions of Lukowski.

Cited by

• The combinatorial geometry of particle physics
• Exterior Cyclic Polytopes and Convexity of Amplituhedra

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