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In this paper we provide a formula for the canonical differential form of the hypersimplex Δ_{k,n} for all n and k. We also study the generalization of the momentum amplituhedron… Click to show full abstract
In this paper we provide a formula for the canonical differential form of the hypersimplex Δ_{k,n} for all n and k. We also study the generalization of the momentum amplituhedron M_{n,k} to m=2, which has been conjectured to share many properties with the hypersimplex, and we provide counterexamples for these conjectures. Nevertheless, we find interesting momentum amplituhedron-like logarithmic differential forms in the m=2 version of the spinor helicity space, that have the same singularity structure as the hypersimplex canonical forms.
Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2022
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