2019/09/21 by Paul Bruillard, Julia Plavnik, Julia Yael Plavnik +6
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Topological Materials and Phenomena #math.QA
paper · pdf · doi:10.48550/arxiv.1909.09843
arxiv created 2019/09/21 · openalex publication_date 2019/09/21 · arxiv updated 2019/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 8. In particular we find three distinct families of prime categories in rank 8 in contrast to the lower rank cases for which there is only one such family.