The $F$-Symbols for Transparent Haagerup-Izumi Categories with $G={\mathbb{Z}}_{2n+1}$

Tzu-Chen Huang, Ying-Hsuan Lin

A fusion category is called transparent if the associator involving any invertible object is the identity map. For the Haagerup-Izumi fusion rings with $G={\mathbb{Z}}_{2n+1}$ (the…