Binary geometries from pellytopes

Fuente: arXiv
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Autori principali: Bossinger, Lara, Telek, Máté L., Tillmann-Morris, Hannah
Natura: Preprint
Pubblicazione: 2024
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author Bossinger, Lara
Telek, Máté L.
Tillmann-Morris, Hannah
author_facet Bossinger, Lara
Telek, Máté L.
Tillmann-Morris, Hannah
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_08002
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Binary geometries from pellytopes
Bossinger, Lara
Telek, Máté L.
Tillmann-Morris, Hannah
Algebraic Geometry
Combinatorics
14M99, 05E45
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.
title Binary geometries from pellytopes
topic Algebraic Geometry
Combinatorics
14M99, 05E45
url https://arxiv.org/abs/2410.08002