Spinor-Helicity Varieties
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.
Project page created: 24/06/2024
Project contributors: Yassine El Maazouz, Anaëlle Pfister and Bernd Sturmfels
Corresponding author of this page: Anaëlle Pfister, anaelle.pfister@mis.mpg.de
Software used: Julia (Version 1.5.2), Macaulay2 (v1.20)
License for code of this project page: MIT License (https://spdx.org/licenses/MIT.html)
License for all other content of this project page (text, images, …): CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/)
Last updated 24/06/2024.