Kinematic Stratifications
Combinatorics
2026-03-04 v2 High Energy Physics - Theory
Algebraic Geometry
Abstract
We study stratifications of regions in the space of symmetric matrices. Their points are Mandelstam matrices for momentum vectors in particle physics. Kinematic strata in these regions are indexed by signs and rank two matroids. Matroid strata of Lorentzian quadratic forms arise when all signs are non-negative. We characterize the posets of strata, for massless and massive particles, with and without momentum conservation.
Cite
@article{arxiv.2503.09571,
title = {Kinematic Stratifications},
author = {Veronica Calvo Cortes and Hadleigh Frost and Bernd Sturmfels},
journal= {arXiv preprint arXiv:2503.09571},
year = {2026}
}
Comments
Correction of mistake in Section 4 and other minor changes