Geometric Recursion from Polytope Triangulations and Twisted Homology
High Energy Physics - Theory
2020-12-25 v2 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2008.06956,
title = {Geometric Recursion from Polytope Triangulations and Twisted Homology},
author = {Nikhil Kalyanapuram},
journal= {arXiv preprint arXiv:2008.06956},
year = {2020}
}
Comments
v2: 6+2 pages, changes in presentation and appendix added, version accepted for publication