For any finite group G there exists a McDuff II1 factor M such that its categorical Connes tilde-chi(M) is braided equivalent to Rep(G), providing the first non-modular braided fusion category realized this way.
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Gauging and duality transformations are equivalent up to constant depth quantum circuits in one-dimensional quantum lattice models, demonstrated via matrix product operators.
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Gauging the Categorical Connes' $\tilde{\chi}(M)$
For any finite group G there exists a McDuff II1 factor M such that its categorical Connes tilde-chi(M) is braided equivalent to Rep(G), providing the first non-modular braided fusion category realized this way.