Graphical Scattering Equations

Abstract

The CHY scattering equations on the moduli space $M_{0,n}$ play a prominent role at the interface of particle physics and algebraic statistics. We study the scattering correspondence when the Mandelstam invariants are restricted to a fixed graph on $n$ vertices.

arXiv comment30 pages. Major revision. Theorem 3.9 and Conjecture 7.1 are corrected. Added Section 6 "Complete Bipartite Graphs"