Integral Metaplectic Modular Categories
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abstract
A braided fusion category is said to have Property $ extbf{F}$ if the associated braid group representations factor over a finite group. We verify integral metaplectic modular categories have property $ extbf{F}$ by showing these categories are group theoretical. For the special case of integral categories $mathcal{C}$ with the fusion rules of $SO(8)_2$ we determine the finite group $G$ for which $Rep(D^{omega}G)$ is braided equivalent to $mathcal{Z}(mathcal{C})$. In addition, we determine the associated classical link invariant, an evaluation of the 2-variable Kauffman polynomial at a point.