Geometric Recursion from Polytope Triangulations and Twisted Homology

Abstract

A geometric approach to understanding recursion relations for scattering amplitudes is developed. We achieve this by studying intersection numbers of triangulated accordiohedra presented as hyperplane arrangements. The cancellation of spurious divergences is subsequently realized as a topological no-boundary condition.

Comments: v2: 6+2 pages, changes in presentation and appendix added, version accepted for publication