Sequential circuit invariants detect non-invertible symmetry anomalies and characterize non-Abelian fermionic loops plus a new mixed topological order in (3+1)D.
Exactly solvable lattice Hamiltonians and gravitational anomalies
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A bosonic lattice model realizes exact chiral symmetry and its anomaly in 3+1d, with the continuum limit a compact boson theory with axion-like coupling.
Multi-entropy measures extract the topological partition function Z(M) for locally-achiral manifolds, enabling access to universal properties of 2+1d topological phases beyond S and T and detection of 4d beyond-cohomology T-SPT.
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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.
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Lattice chiral symmetry from bosons in 3+1d
A bosonic lattice model realizes exact chiral symmetry and its anomaly in 3+1d, with the continuum limit a compact boson theory with axion-like coupling.
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Universal entanglement probes of topological order and locally-achiral manifolds
Multi-entropy measures extract the topological partition function Z(M) for locally-achiral manifolds, enabling access to universal properties of 2+1d topological phases beyond S and T and detection of 4d beyond-cohomology T-SPT.
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