Hypergraph Characterization of Fusion Rings
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908872632958976 |
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| author | Bruillard, Paul Nowak, Kathleen Young, Stephen J. |
| author_facet | Bruillard, Paul Nowak, Kathleen Young, Stephen J. |
| contents | We present a correspondence between multiplicity-free, self-dual,
fusion rings and a digraph, hypergraph pair $(D,H)$. This
correspondence is used to provide a complete characterization of all
fusion rings corresponding to graphical properties of $D$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00180 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hypergraph Characterization of Fusion Rings Bruillard, Paul Nowak, Kathleen Young, Stephen J. Combinatorics 05E40, 05E16 We present a correspondence between multiplicity-free, self-dual, fusion rings and a digraph, hypergraph pair $(D,H)$. This correspondence is used to provide a complete characterization of all fusion rings corresponding to graphical properties of $D$. 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. |
| title | Hypergraph Characterization of Fusion Rings |
| topic | Combinatorics 05E40, 05E16 |
| url | https://arxiv.org/abs/2505.00180 |