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arxiv: 2009.14368 · v2 · pith:GAMSEA3S · submitted 2020-09-30 · hep-th · cond-mat.str-el· hep-ph

Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics

Yoshimasa Hidaka , Muneto Nitta , Ryo Yokokura This is my paper

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classification hep-th cond-mat.str-elhep-ph
keywords grouphooftstructureanomaliesaxionelectrodynamicsformglobal
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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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