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arXiv · 2610.30081

AnyonWiki.org

Colleen Delaney·Ralph Razzouk·Joost Slingerland·Gert Vercleyen
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Abstract

The AnyonWiki is an open-source project that provides full algebraic and numerical data of fusion and unitary modular fusion categories as a resource for the scientific community. It comes with a database, the AnyonWikiDatabase, that currently includes the classification of multiplicity-free pivotal (braided) fusion categories through rank 7 and more than 25000 fusion rings including the classification of multiplicity-free fusion rings through rank 10, with work in progress to expand. This data is available through AnyonWiki.org, a website that provides robust search and download functionality and presents each fusion ring and category via a dedicated webpage. In this short article we discuss the data available at AnyonWiki.org as well as the scientific and communal motivations for the design of its underlying AnyonWikiDatabase, which are centered around making the data accessible, independently verifiable, granularly citable, useful, and easy to work with.

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Colleen Delaney, Ralph Razzouk, Joost Slingerland, Gert Vercleyen. 2026-10-21. AnyonWiki.org. https://arxiv.org/abs/2610.30081

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