Higher-form symmetries and 3-group in axion electrodynamics

DOI10.1016/J.PHYSLETB.2020.135672zbMATH Open1473.81106arXiv2006.12532OpenAlexW3036608889MaRDI QIDQ822447

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Publication date: 22 September 2021

Published in: (Search for Journal in Brave)

Abstract: We study higher-form symmetries in a low-energy effective theory of a massless axion coupled with a photon in $(3+1)$ dimensions. It is shown that the higher-form symmetries of this system are accompanied by a semistrict 3-group (2-crossed module) structure, which can be found by the correlation functions of symmetry generators of the higher-form symmetries. We argue that the Witten effect and anomalous Hall effect in the axion electrodynamics can be described in terms of 3-group transformations.

Full work available at URL: https://arxiv.org/abs/2006.12532

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