The work constructs adjusted connections on non-abelian bundle gerbes classified by Saemann's adjusted non-abelian differential cohomology and provides a new coordinate-free version of Tellez-Dominguez' lifting theorem to abelian 2-gerbes.
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The symmetry category of a 2D QFT with G-symmetry and anomaly k equals the twisted Hilbert space category Hilb^k(G), whose Drinfeld center is the twisted representation category of the conjugation groupoid C*-algebra, enabling braiding computations in the 3D SymTFT.
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Adjusted connections on non-abelian bundle gerbes
The work constructs adjusted connections on non-abelian bundle gerbes classified by Saemann's adjusted non-abelian differential cohomology and provides a new coordinate-free version of Tellez-Dominguez' lifting theorem to abelian 2-gerbes.
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Categorical Symmetries via Operator Algebras
The symmetry category of a 2D QFT with G-symmetry and anomaly k equals the twisted Hilbert space category Hilb^k(G), whose Drinfeld center is the twisted representation category of the conjugation groupoid C*-algebra, enabling braiding computations in the 3D SymTFT.