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arxiv: 1403.0617 · v1 · submitted 2014-03-03 · ✦ hep-th · cond-mat.str-el

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Anomalies of discrete symmetries in three dimensions and group cohomology

Anton Kapustin , Ryan Thorngren
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classification ✦ hep-th cond-mat.str-el
keywords dimensionsdiscretethreeanomalyglobalsymmetryanomaliesconstruct
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We study 't Hooft anomalies for a global discrete internal symmetry G. We construct examples of bosonic field theories in three dimensions with a non-vanishing 't Hooft anomaly for a discrete global symmetry. We also construct field theories in three dimensions with a global discrete internal symmetry G_1 x G_2 such that gauging G_1 necessarily breaks G_2 and vice versa. This is analogous to the Adler-Bell-Jackiw axial anomaly in four dimensions and parity anomaly in three dimensions.

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Cited by 2 Pith papers

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