A sixteen-fold family of (2+1)D fermionic topological orders is identified, characterized by the mod-16 anomaly of a Z2 one-form symmetry and constructed as gapped boundaries of 3+1D fermionic SPT phases.
Higher-form anomalies on lattices,
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Sequential circuit invariants detect non-invertible symmetry anomalies and characterize non-Abelian fermionic loops plus a new mixed topological order in (3+1)D.
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Sixteen-Fold Way for Fermionic Topological Orders
A sixteen-fold family of (2+1)D fermionic topological orders is identified, characterized by the mod-16 anomaly of a Z2 one-form symmetry and constructed as gapped boundaries of 3+1D fermionic SPT phases.
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Invariants of Sequential Circuits and Generalized Non-Abelian Statistics
Sequential circuit invariants detect non-invertible symmetry anomalies and characterize non-Abelian fermionic loops plus a new mixed topological order in (3+1)D.