Reconstructing Braided Subcategories of $SU(N)_k$ Institutional Repository Document uri icon


  • Ocneanu rigidity implies that there are finitely many (braided) fusion categories with a given set of fusion rules. While there is no method for determining all such categories up to equivalence, there are a few cases for which can. For example, Kazhdan and Wenzl described all fusion categories with fusion rules isomorphic to those of $SU(N)_k$. In this paper we extend their results to a statement about braided fusion categories, and obtain similar results for certain subcategories of $SU(N)_k$.

author list (cited authors)

  • Feng, Z., Rowell, E. C., & Ming, S.

complete list of authors

  • Feng, Zhaobidan||Rowell, Eric C||Ming, Shuang

publication date

  • January 2022