Scattering and Strebel graphs

Abstract

We consider a special scattering experiment with n particles in ${\mathbb{R}}^{n-3,1}$. The scattering equations in this set-up become the saddle-point equations of a Penner-like matrix model, where in the large $n$ limit, the spectral curve is directly related to the unique Strebel differential on a Riemann sphere with three punctures. The solutions to the scattering equations localize along different kinds of graphs, tuned by a kinematic variable. We conclude with a few comments on a connection between these graphs and scattering in the Gross-Mende limit.

arXiv comment29 pages, 12 figures, minor corrections in v.2

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Cited by in corpus (1)

• Classical geometry from the tensionless string