A general bosonization scheme via parity gauging and disentangling unitaries yields Kramers-Wannier dualities in arbitrary dimensions, with non-invertible symmetry operators.
From an algebraic point of view, this is an isomorphism of operator algebras when the space M is simply connected
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Bosonization and Kramers-Wannier dualities in general dimensions
A general bosonization scheme via parity gauging and disentangling unitaries yields Kramers-Wannier dualities in arbitrary dimensions, with non-invertible symmetry operators.