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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Long-range Rényi-1 SWSSB order implies extensive block-charge variance for continuous symmetries with rapid asymptotic approach, with conditional counterexamples and a new twist overlap correlator separating symmetry channels and linking to skew information.
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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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Charge Scrambling in Strong-to-Weak Spontaneous Symmetry Breaking
Long-range Rényi-1 SWSSB order implies extensive block-charge variance for continuous symmetries with rapid asymptotic approach, with conditional counterexamples and a new twist overlap correlator separating symmetry channels and linking to skew information.