Abstract
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.
Original language | English |
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Number of pages | 24 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Early online date | 30 Mar 2022 |
DOIs | |
Publication status | E-pub ahead of print - 30 Mar 2022 |
Keywords
- hep-th
- math.AG