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arXiv · 2402.03065

Minimal Kinematics on $\mathcal{M}_{0,n}$

Nick Early·Anaëlle Pfister·Bernd Sturmfels
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Abstract

Minimal kinematics identifies likelihood degenerations where the critical points are given by rational formulas. These rest on the Horn uniformization of Kapranov-Huh. We characterize all choices of minimal kinematics on the moduli space $\mathcal{M}_{0,n}$. These choices are motivated by the CHY model in physics and they are represented combinatorially by 2-trees. We compute 2-tree amplitudes, and we explore extensions to non-planar on-shell diagrams, here identified with the hypertrees of Castravet-Tevelev.

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Nick Early, Anaëlle Pfister, Bernd Sturmfels. 2024-02-05. Minimal Kinematics on $\mathcal{M}_{0,n}$. https://arxiv.org/abs/2402.03065

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