# Scattering in three dimensions from rational maps

@article{Cachazo2013ScatteringIT,
title={Scattering in three dimensions from rational maps},
author={Freddy Cachazo and Song He and Ellis Ye Yuan},
journal={Journal of High Energy Physics},
year={2013},
volume={2013},
pages={1-20}
}
• Published 12 June 2013
• Mathematics
• Journal of High Energy Physics
A bstractThe complete tree-level S-matrix of four dimensional $\mathcal{N}=4$ super Yang-Mills and $\mathcal{N}=8$ supergravity has compact forms as integrals over the moduli space of certain rational maps. In this note we derive formulas for amplitudes in three dimensions by using the fact that when amplitudes are dressed with proper wave functions dimensional reduction becomes straightforward. This procedure leads to formulas in terms of rational maps for three dimensional maximally…
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