Integral metaplectic modular categories
Abstract
A braided fusion category is said to have Property F if the associated braid group representations factor through a finite group. We verify integral metaplectic modular categories have property F by showing these categories are group-theoretical. For the special case of integral categories 𝒞 with the fusion rules of SO(8)2 we determine the finite group G for which Rep(DωG) is braided equivalent to 𝒵(𝒞). In addition, we determine the associated classical link invariant, an evaluation of the 2-variable Kauffman polynomial at a point.