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Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics
Published 30 Sep 2020 in hep-th, cond-mat.str-el, and hep-ph | (2009.14368v2)
Abstract: We investigate a higher-group structure of massless axion electrodynamics in $(3+1)$ dimensions. By using the background gauging method, we show that the higher-form symmetries necessarily have a global semistrict 3-group (2-crossed module) structure, and exhibit 't Hooft anomalies of the 3-group. In particular, we find a cubic mixed 't Hooft anomaly between 0-form and 1-form symmetries, which is specific to the higher-group structure.
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