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.

29 pages, 12 figures, minor corrections in v.2

References in corpus (6)

• Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems
• Les Houches lectures on matrix models and topological strings
• Chaotic scattering of highly excited strings
• Likelihood Equations and Scattering Amplitudes
• On the solutions of the scattering equations
• From Symmetric Product CFTs to ${\mathrm{AdS}}_3$

Cited by in corpus (1)

• Classical geometry from the tensionless string