Introduces isoregular theories whose 2-categories of models are accessible with flexible limits and applies the result to several 2-categories in category theory and logic.
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Condensing an arbitrary algebra of charges in a quantum double model yields a hypergroup-graded extension of the deconfined excitations category whose domain walls act non-invertibly via a Hopf monad.
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Isoregular theories, accessible 2-categories, and free constructions
Introduces isoregular theories whose 2-categories of models are accessible with flexible limits and applies the result to several 2-categories in category theory and logic.