For non-invertible on-site symmetries on 2+1D lattices, Haag duality is preserved exactly only for cuspless regions (weak form with collar for cusped regions); disjoint additivity holds for group-based double models and is weakened for general Hopf algebra constraints, including extended string-net
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Gapped phases dual to massless RG flows in 2D CFTs exhibit unusual ordering via spontaneous breaking of non-group-like symmetries and are characterized using smeared boundary CFTs applied to smeared Ishibashi states.
A quantum channel applied near the entanglement cut maps the reduced density matrix of trivial gSPT states to non-trivial ones, thereby predicting their boundary CFT entanglement spectra.
Generalized quantum dimensions from SymTFTs classify massless and massive RG flows in pseudo-Hermitian systems and relate coset constructions to domain walls.
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Algebraic locality and non-invertible Gauss laws
For non-invertible on-site symmetries on 2+1D lattices, Haag duality is preserved exactly only for cuspless regions (weak form with collar for cusped regions); disjoint additivity holds for group-based double models and is weakened for general Hopf algebra constraints, including extended string-net
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Characterizing bulk properties of gapped phases by smeared boundary conformal field theories: Role of duality in unusual ordering
Gapped phases dual to massless RG flows in 2D CFTs exhibit unusual ordering via spontaneous breaking of non-group-like symmetries and are characterized using smeared boundary CFTs applied to smeared Ishibashi states.
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A Framework for Predicting Entanglement Spectra of Gapless Symmetry-Protected Topological States in One Dimension
A quantum channel applied near the entanglement cut maps the reduced density matrix of trivial gSPT states to non-trivial ones, thereby predicting their boundary CFT entanglement spectra.
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Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls
Generalized quantum dimensions from SymTFTs classify massless and massive RG flows in pseudo-Hermitian systems and relate coset constructions to domain walls.