On near-group centers and super-modular categories Institutional Repository Document uri icon


  • 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 produced two mysterious families of super-modular data, with no known realization. We show that these data are realized by modifying the Drinfeld centers of near-group fusion categories associated with the groups $mathbb Z/6$ and $mathbb Z/2 imes mathbb Z/4$. The methods we develop have wider applications and we describe some of these, with a view towards understanding when near-group centers provide super-modular categories.

author list (cited authors)

  • Rowell, E. C., Solomon, H., & Zhang, Q.

complete list of authors

  • Rowell, Eric C||Solomon, Hannah||Zhang, Qing

publication date

  • May 2023