English

Open associahedra and scattering forms

High Energy Physics - Theory 2020-12-23 v1 Combinatorics

Abstract

We continue the study of open associahedra associated with bi-color scattering amplitudes initiated in arXiv:1912.08307. We focus on the facet geometries of the open associahedra, uncovering many new phenomena such as fiber-product geometries. We then provide novel recursion procedures for calculating the canonical form of open associahedra, generalizing recursion relations for bounded polytopes to unbounded polytopes.

Cite

@article{arxiv.2008.06418,
  title  = {Open associahedra and scattering forms},
  author = {Aidan Herderschee and Fei Teng},
  journal= {arXiv preprint arXiv:2008.06418},
  year   = {2020}
}

Comments

36+13 pages, 10 figures

R2 v1 2026-06-23T17:51:49.557Z