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Global anomalies on the surface of fermionic symmetry-protected topological phases in (3+1) dimensions

Global anomalies on the surface of fermionic symmetry-protected topological phases in (3+1) dimensions

Quantum anomalies, breakdown of classical symmetries by quantum effects, provide a sharp definition of symmetry protected topological phases. In particular, they can diagnose interaction effects on the noninteracting classification of fermionic symmetry protected topological phases. In this paper, we identify quantum anomalies in two kinds of (3+1)d fermionic symmetry protected …