Integral non-group-theoretical modular categories of dimension $p^2q^2$ Institutional Repository Document uri icon

abstract

  • We construct all integral non-group-theoretical modular categories of dimension $p^2q^2$, where $p$ and $q$ are distinct prime numbers, establishing that a necessary and sufficient condition for their existence is that $p mid q+1$, and their rank is $p^2 + frac{q^2 - 1}{p}$.

author list (cited authors)

  • Galindo, C., Plavnik, J., & Rowell, E. C.

complete list of authors

  • Galindo, C├ęsar||Plavnik, Julia||Rowell, Eric C

Book Title

  • arXiv

publication date

  • April 2024