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

DOI10.1007/JHEP01(2021)173zbMATH Open1459.81051arXiv2009.14368OpenAlexW3125242965MaRDI QIDQ2024308

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Publication date: 3 May 2021

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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.

Full work available at URL: https://arxiv.org/abs/2009.14368

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