Binary geometries from pellytopes
Keywords:
binary geometry, Pell's number, moduli space of curvesAbstract
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.
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Copyright (c) 2025 L. Bossinger, M.L. Telek, H. Tillmann-Morris
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