The hypersimplex canonical forms and the momentum amplituhedron-like logarithmic forms
Open Access
- 20 April 2022
- journal article
- research article
- Published by IOP Publishing in Journal of Physics A: Mathematical and Theoretical
- Vol. 55 (20), 205202
- https://doi.org/10.1088/1751-8121/ac62ba
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
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.
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