English

Classification of super-modular categories

Quantum Algebra 2019-09-24 v1

Abstract

We develop categorical and number theoretical tools for the classification of super-modular categories. We apply these tools to obtain a partial classification of super-modular categories of rank 88. In particular we find three distinct families of prime categories in rank 88 in contrast to the lower rank cases for which there is only one such family.

Keywords

Cite

@article{arxiv.1909.09843,
  title  = {Classification of super-modular categories},
  author = {Paul Bruillard and Julia Yael Plavnik and Eric C. Rowell and Qing Zhang},
  journal= {arXiv preprint arXiv:1909.09843},
  year   = {2019}
}
R2 v1 2026-06-23T11:22:12.958Z