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About AnyonWiki

An open-source database for the research community

Our Mission

AnyonWiki is a comprehensive, open-source database of fusion rings, fusion categories, and anyon models designed for researchers, students, and enthusiasts in the fields of topological quantum computation, category theory, and mathematical physics.

Our goal is to provide a centralized, accessible repository of mathematical data that advances research and education in these rapidly evolving fields.

Comprehensive Data
350+ fusion rings and 500+ fusion categories

Our database includes detailed mathematical properties, categorifiability criteria, and downloadable datasets for computational research.

Documentation
Extensive guides and references

Complete documentation on fusion rings, categories, and anyon models, with mathematical definitions and examples.

Community Driven
Built by researchers, for researchers

AnyonWiki is maintained by an active community of mathematicians and physicists from institutions around the world.

Open Source
Free and accessible to everyone

All data and code are freely available under open-source licenses, ensuring transparency and reproducibility.

Contributors
AnyonWiki is made possible by contributions from researchers worldwide

We thank all the mathematicians, physicists, and developers who have contributed data, code, and documentation to this project. This database represents a collaborative effort to advance our understanding of fusion categories and topological quantum computation.

Get Involved

We welcome contributions, suggestions, and feedback from the community. Whether you're adding new data, improving documentation, or reporting issues, your contribution helps make AnyonWiki better for everyone.