Some universal properties of Levin-Wen models
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We review the key steps of the construction of Levin-Wen type of models on lattices with boundaries and defects of codimension 1,2,3 in a joint work with Alexei Kitaev. We emphasize some universal properties, such as boundary-bulk duality and duality-defect correspondence, shared by all these models. New results include a detailed analysis of the local properties of a boundary excitation and a conjecture on the functoriality of the monoidal center.
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Cited by 2 Pith papers
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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...
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Pro-Tensor Network
Pro-tensor networks form a categorified framework for many-many-body theories that recovers the Levin-Wen model and characterizes particles as modules over promonads without requiring semisimplicity, finiteness or rigidity.
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