Develops K-theoretic obstruction theory for linearizing QCA representations over arbitrary fields, extracting universal classes and computing homotopy types over point/line/plane in the complex unitary case.
Higher symmetries, anomalies, and crossed squares in lattice gauge theory
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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UNVERDICTED 3representative citing papers
Lattice CPT symmetry upgrades the Onsager chiral symmetry anomaly from order two to infinite order, better matching the continuum chiral anomaly, with discussion of associated 2+1d SPT phases.
For finite 1-form symmetries in (2+1)D, onsiteability holds exactly when the 't Hooft anomaly meets an algebraic condition allowing 1-gauging; the symmetry can then be realized as transversal Pauli operators via ancillas and circuits.
citing papers explorer
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$K$-Theoretic Obstructions to Linearizing QCA Representations
Develops K-theoretic obstruction theory for linearizing QCA representations over arbitrary fields, extracting universal classes and computing homotopy types over point/line/plane in the complex unitary case.
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Infinite-Order Lattice Chiral Anomalies and CPT
Lattice CPT symmetry upgrades the Onsager chiral symmetry anomaly from order two to infinite order, better matching the continuum chiral anomaly, with discussion of associated 2+1d SPT phases.
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Onsiteability of Higher-Form Symmetries
For finite 1-form symmetries in (2+1)D, onsiteability holds exactly when the 't Hooft anomaly meets an algebraic condition allowing 1-gauging; the symmetry can then be realized as transversal Pauli operators via ancillas and circuits.