超单形标准形与动量幅面体类对数形
The hypersimplex canonical forms and the momentum amplituhedron-like logarithmic forms
摘要：
本文对所有的$n$和$k$给出了超单形$Δ_{k,n}$的标准微分形式的一个公式.我们还研究了动量振幅面体$\mathcal{M}_{n,k}$到$m=2$的推广，并得出结论，现有的定义不具备所需的性质。然而，我们发现有趣的动量振幅面像对数微分形式的旋量螺旋度空间的$m=2$版本，具有相同的奇异性结构的超单纯形标准形。
英文摘要：
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 $\mathcal{M}_{n,k}$ 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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