Work

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

Year: 2025

Type: article

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.

Source: Moduli

DOI: 10.1112/mod.2025.10003

Authors: Nick Early, Anaëlle Pfister, Bernd Sturmfels

Institutions: Institute for Advanced Study, Max Planck Institute for Mathematics in the Sciences

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,450

OpenAlex ID: W4413175157