Classification of $\mathbb{Z}/2\mathbb{Z}$-quadratic unitary fusion categories

Cain Edie-Michell, Masaki Izumi, David Penneys

A unitary fusion category is called $\mathbb{Z}/2\mathbb{Z}$-quadratic if it has a $\mathbb{Z}/2\mathbb{Z}$ group of invertible objects and one other orbit of simple objects under…