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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Proves infinite-volume large-N limits, factorization, and 1/N expansion for Wilson loops in heat-kernel Yang-Mills on Z^d, plus area-law bound for the master field.
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Topological lattice gauge theory enriched by non-invertible symmetry
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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The heat-kernel master field on $\mathbb{Z}^d$ at strong coupling
Proves infinite-volume large-N limits, factorization, and 1/N expansion for Wilson loops in heat-kernel Yang-Mills on Z^d, plus area-law bound for the master field.