TY - JOUR
T1 - Higher-form symmetries and 3-group in axion electrodynamics
AU - Hidaka, Yoshimasa
AU - Nitta, Muneto
AU - Yokokura, Ryo
N1 - Funding Information:
R. Y. thanks Yuji Hirono, Taro Kimura, and Naoki Yamamoto for discussions. Y. H. thanks Hiroki Kodama for useful comments. This work is supported in part by Japan Society of Promotion of Science ( JSPS ) Grant-in-Aid for Scientific Research (KAKENHI Grants No. 17H06462 , 18H01211 (Y. H.) and 18H01217 (M. N.)).
Publisher Copyright:
© 2020 The Author(s)
PY - 2020/9/10
Y1 - 2020/9/10
N2 - 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.
AB - 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.
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U2 - 10.1016/j.physletb.2020.135672
DO - 10.1016/j.physletb.2020.135672
M3 - Article
AN - SCOPUS:85089244612
SN - 0370-2693
VL - 808
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
M1 - 135672
ER -