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.
A derivation of braided c*-tensor categories from gapped ground states satisfying the approximate haag duality,
2 Pith papers cite this work. Polarity classification is still indexing.
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Develops local diagnostics for strong symmetries and strong-to-weak symmetry breaking via infinite-volume definitions and local charge coherence, introduces von Neumann symmetries, and derives an LSM-type anomaly constraint for quantum spin chains.
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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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A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems
Develops local diagnostics for strong symmetries and strong-to-weak symmetry breaking via infinite-volume definitions and local charge coherence, introduces von Neumann symmetries, and derives an LSM-type anomaly constraint for quantum spin chains.