Check out the AnyonWiki preprint on arXiv

Cite AnyonWiki

Please cite AnyonWiki in your research, publications, or projects.

Citing the data

We would kindly ask you, if you use any data which you could not obtain from another source, to cite the correct references. Every page on a fusion ring and fusion category contains a References and Software section that provides information on the papers and software that led to the data, and to their representation as found on the wiki.

As the database grows and starts to include data from different sources, these sections will provide more specialized information on the exact sources to cite. Note that we only include citations to the sources that led to the data as it is represented on the wiki.

At this moment there are only two main origins of the data, so it is still easy to determine which papers to cite.

Fusion ring data

If you used any data on a fusion ring, we kindly ask you to cite: 10.1063/5.0148848

@article{vercleyen2023,
  author = {Vercleyen, G. and Slingerland, J. K.},
  title = {On low rank fusion rings},
  journal = {Journal of Mathematical Physics},
  volume = {64},
  number = {9},
  pages = {091703},
  year = {2023},
  month = {09},
  issn = {0022-2488},
  doi = {10.1063/5.0148848},
  url = {https://doi.org/10.1063/5.0148848},
  eprint = {https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0148848/18137703/091703_1_5.0148848.pdf}
}

Fusion category data

If you used any data on a fusion category, we kindly ask you to cite: 10.1007/s00220-026-05705-2

@article{Vercleyen2026,
  author   = {Vercleyen, Gert and Slingerland, Joost},
  title    = {On Low-Rank Multiplicity-Free Complex Fusion Categories},
  journal  = {Communications in Mathematical Physics},
  year     = {2026},
  month    = {Sep},
  volume   = {407},
  number   = {231},
  issn     = {1432-0916},
  doi      = {10.1007/s00220-026-05705-2},
  url      = {https://doi.org/10.1007/s00220-026-05705-2},
}

Citing the wiki

To cite the AnyonWiki itself, please cite the preprint arXiv:2610.30081, alongside the data citations above.

@misc{anyonwikiorg2026,
  title        = {AnyonWiki.org},
  author       = {Colleen Delaney and Ralph Razzouk and Joost Slingerland and Gert Vercleyen},
  year         = {2026},
  eprint       = {2610.30081},
  archivePrefix = {arXiv},
  primaryClass  = {math.QA},
  url          = {https://arxiv.org/abs/2610.30081},
}

Missing or incorrect data?

Please let the AnyonWiki team know. Your contributions are greatly appreciated.