We use the computer algebraic system GAP to classify modular data up to rank 11, and
integral modular data up to rank 12. This extends the previously obtained classification of …

For a braided fusion category, a-fusion category is a fusion category equipped with a
braided monoidal functor. Given a fixed-fusion category and a fixed-graded extension as an …

We compute the monoidal and braided auto-equivalences of the modular tensor categories
C (sl r+ 1, k), C (so 2 r+ 1, k), C (sp 2 r, k), and C (g 2, k). Along with the expected simple …

The construction and classification of super-modular categories is an ongoing project, of
interest in algebra, topology and physics. In a recent paper, Cho, Kim, Seo and You …

The complex representation rings of finite groups are the fundamental class of fusion rings,
categorified by the corresponding fusion categories of complex representations. The …

Irrational braided generalized near-groups Page 1 Canad. Math. Bull. Vol. 64 (4), 2023, pp.
1255–1268 http://dx.doi.org/10.4153/S0008439523000334 © The Author(s), 2023. Published …

The complex representation rings of finite groups are the fundamental class of fusion rings,
categorified by the corresponding fusion categories of complex representations. The …

Until recently, a careful derivation of the fusion structure of anyons from some underlying
physical principles has been lacking. In Shi et al.(2020), the authors achieved this goal by …

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 …

Unitary fusion categories (UFCs) have gained increased attention due to emerging
connections with quantum physics. We consider a fusion rule of the form $ q\otimes …