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We revisit discrete gauge anomalies in chiral fermion theories in $3+1$ dimensions.
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C.-T. Hsieh, O. M. Sule, G. Y. Cho, S. Ryu and R. G. Leigh, Symmetry-protected topological phases, generalized laughlin argument, and orientifolds , Phys. Rev. B 90
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A. Kapustin, R. Thorngren, A. Turzillo and Z. Wang, Fermionic Symmetry Protected Topological Phases and Cobordisms , JHEP 2015
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E. Witten, Fermion path integrals and topological phases , Rev. Mod. Phys. 88
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C.-T. Hsieh, G. Y. Cho and S. Ryu, Global anomalies on the surface of fermionic symmetry-protected topological phases in (3+1) dimensions , Phys. Rev. B 93
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N. Seiberg and E. Witten, Gapped boundary phases of topological insulators via weak coupling , PTEP 2016
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E. Witten, The ”parity” anomaly on an unorientable manifold , Phys. Rev. B 94
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2018
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H. Shimizu and K. Yonekura, Anomaly constraints on deconfinement and chiral phase transition , Physical Review D 97
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