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The hypersimplex canonical forms and the momentum amplituhedron-like logarithmic forms

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 نشر من قبل Tomasz Lukowski
 تاريخ النشر 2021
  مجال البحث
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In this paper we provide a formula for the canonical differential form of the hypersimplex $Delta_{k,n}$ for all $n$ and $k$. We also study the generalization of the momentum amplituhedron $mathcal{M}_{n,k}$ to $m=2$, and we conclude that the existing definition does not possess the desired properties. 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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