Introduces pro-tensor networks as a categorified graphical framework for many-many-body theories, recovers the Levin-Wen model, characterizes particles as modules over promonads, and relaxes semisimplicity, finiteness, and rigidity assumptions.
Izumi,The structure of sectors associated with Longo-Rehren inclusions
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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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Pro-Tensor Network
Introduces pro-tensor networks as a categorified graphical framework for many-many-body theories, recovers the Levin-Wen model, characterizes particles as modules over promonads, and relaxes semisimplicity, finiteness, and rigidity assumptions.
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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.