The Scattering Variety
High Energy Physics - Theory
2015-06-19 v2 Algebraic Geometry
Abstract
The so-called Scattering Equations which govern the kinematics of the scattering of massless particles in arbitrary dimensions have recently been cast into a system of homogeneous polynomials. We study these as affine and projective geometries which we call Scattering Varieties by analyzing such properties as Hilbert series, Euler characteristic and singularities. Interestingly, we find structures such as affine Calabi-Yau threefolds as well as singular K3 and Fano varieties.
Cite
@article{arxiv.1403.6833,
title = {The Scattering Variety},
author = {Yang-Hui He and Cyril Matti and Chuang Sun},
journal= {arXiv preprint arXiv:1403.6833},
year = {2015}
}
Comments
29 pages; v2: substantially improved presentation, results added (Hodge diamond), references added, typos corrected