Work

Binary geometries from pellytopes

Year: 2024

Type: article

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.

Source: Le Matematiche

DOI: 10.48550/arxiv.2410.08002

Authors: Bossinger, Lara, Telek, Máté L., Tillmann-Morris, Hannah

Institutions: Universidad Nacional Autónoma de México, Max Planck Institute for Mathematics in the Sciences

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: European Commission, Max-Planck-Institut für Mathematik in den Naturwissenschaften

Award: G8284209191