Binary geometries from pellytopes
Algebraic Geometry
2024-10-11 v1 Combinatorics
Abstract
Binary geometries have recently been introduced in particle physics in connection with stringy integrals. In this work, we study a class of simple polytopes, called \emph{pellytopes}, whose number of vertices are given by Pell's numbers. We provide a new family of binary geometries determined by pellytopes as conjectured by He--Li--Raman--Zhang. We relate this family to the moduli space of curves by comparing the pellytope to the ABHY associahedron.
Cite
@article{arxiv.2410.08002,
title = {Binary geometries from pellytopes},
author = {Lara Bossinger and Máté L. Telek and Hannah Tillmann-Morris},
journal= {arXiv preprint arXiv:2410.08002},
year = {2024}
}
Comments
19 pages, comments are welcome