An operator-algebraic framework proves that boundary conditions in (1+1)D gapped phases with categorical symmetry are classified by objects of the module category M_Q^op via an equivalence of categories, yielding a bulk-boundary correspondence as the enriched center.
Localized endomorphisms in Kitaev’s toric code on the plane.Rev
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New LTO axioms ensure Haag duality for cones and reflection positivity, verified for all known topologically ordered commuting projector models.
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Bulk-boundary correspondence of (1+1)D symmetric gapped phases
An operator-algebraic framework proves that boundary conditions in (1+1)D gapped phases with categorical symmetry are classified by objects of the module category M_Q^op via an equivalence of categories, yielding a bulk-boundary correspondence as the enriched center.
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Local topological order, Haag duality, and reflection positivity
New LTO axioms ensure Haag duality for cones and reflection positivity, verified for all known topologically ordered commuting projector models.