Hypergraph Characterization of Fusion Rings
Combinatorics
2026-03-10 v2
Abstract
We present a correspondence between multiplicity-free, self-dual, fusion rings and a digraph, hypergraph pair . This correspondence is used to provide a complete characterization of all fusion rings corresponding to graphical properties of . Further, we exploit this correspondence to provide a complete list of all non-isomorphic, self-dual, multiplicity-free fusion rings of rank at most 8.
Cite
@article{arxiv.2505.00180,
title = {Hypergraph Characterization of Fusion Rings},
author = {Paul Bruillard and Kathleen Nowak and Stephen J. Young},
journal= {arXiv preprint arXiv:2505.00180},
year = {2026}
}