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Integral metaplectic modular categories

    https://doi.org/10.1142/S0218216520500327Cited by:1 (Source: Crossref)

    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.

    AMSC: 18D10, 20F36, 17B37