Spinor-Helicity Varieties
Algebraic Geometry
2025-08-27 v2 High Energy Physics - Theory
Combinatorics
Abstract
The spinor-helicity formalism in particle physics gives rise to natural subvarieties in the product of two Grassmannians. These include two-step flag varieties for subspaces of complementary dimension. Taking Hadamard products leads to Mandelstam varieties. We study these varieties through the lens of combinatorics and commutative algebra, and we explore their tropicalization, positive geometry, and scattering correspondence.
Keywords
Cite
@article{arxiv.2406.17331,
title = {Spinor-Helicity Varieties},
author = {Yassine El Maazouz and Anaëlle Pfister and Bernd Sturmfels},
journal= {arXiv preprint arXiv:2406.17331},
year = {2025}
}
Comments
28 pages