Exact lattice fermionic symmetries in (1+1)D and (2+1)D are captured by a hierarchy of cohomological anomaly indices that does not fully match the continuum QFT anomaly classification; a constructed Z_4^F symmetry blocks SRE states despite a trivial continuum anomaly.
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Fermionic Anomalies of Finite Symmetries on Lattices
Exact lattice fermionic symmetries in (1+1)D and (2+1)D are captured by a hierarchy of cohomological anomaly indices that does not fully match the continuum QFT anomaly classification; a constructed Z_4^F symmetry blocks SRE states despite a trivial continuum anomaly.