# Scattering equations: from projective spaces to tropical grassmannians

@article{Cachazo2019ScatteringEF,
title={Scattering equations: from projective spaces to tropical grassmannians},
author={F. Cachazo and N. Early and A. Guevara and Sebastian Mizera},
journal={Journal of High Energy Physics},
year={2019},
volume={2019},
pages={1-33}
}
A bstractWe introduce a natural generalization of the scattering equations, which connect the space of Mandelstam invariants to that of points on ℂℙ1, to higher-dimensional projective spaces ℂℙk − 1. The standard, k = 2 Mandelstam invariants, sab, are generalized to completely symmetric tensors sa1a2…ak$${\mathrm{s}}_{a_1{a}_2\dots {a}_k}$$ subject to a ‘massless’ condition sa1a2…ak−2bb=0$${\mathrm{s}}_{a_1{a}_2\dots {a}_{k-2}bb}=0$$ and to ‘momentum conservation’. The scattering equations… Expand
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