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

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arxiv 2402.03065 v1 pith:PH724UJM submitted 2024-02-05 math.AG hep-thmath.CO

Nick Early , Anaëlle Pfister , Bernd Sturmfels This is my paper · ORCID
classification math.AGhep-thmath.CO
keywords kinematicsminimalchoicesmathcalamplitudescastravet-tevelevcharacterizecombinatorially
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. The CEGM NLSM

    hep-th 2025-02 conditional novelty 6.0 of 10

    A systematic deformation theory for CEGM amplitudes yields generalized nonlinear sigma model amplitudes, with dimension gcd(k,n)-1 for pure deformations and an embedding of ordinary NLSM amplitudes as residues.

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