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.
Algebraic higher symmetry and categorical symmetry -- a holographic and entanglement view of symmetry
4 Pith papers cite this work. Polarity classification is still indexing.
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String order parameters in 1D gapped phases with invertible or non-invertible symmetries organize into Lagrangian algebras in the Drinfel'd centre via tensor-network module categories.
Non-invertible symmetry-breaking phases are characterized by long-range order parameters obeying generalized algebra, with certain transitions dual to beyond-Landau points of invertible symmetries under precise conditions established via generalized gauging.
Ensemble averaging in holography is reframed as averaging over topological completions of a relative theory via SymTFT boundary conditions, reproducing known moments in Marolf-Maxfield and Narain models.
citing papers explorer
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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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Algebras of order parameters in one-dimensional spin systems
String order parameters in 1D gapped phases with invertible or non-invertible symmetries organize into Lagrangian algebras in the Drinfel'd centre via tensor-network module categories.
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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions
Non-invertible symmetry-breaking phases are characterized by long-range order parameters obeying generalized algebra, with certain transitions dual to beyond-Landau points of invertible symmetries under precise conditions established via generalized gauging.
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From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs
Ensemble averaging in holography is reframed as averaging over topological completions of a relative theory via SymTFT boundary conditions, reproducing known moments in Marolf-Maxfield and Narain models.