TY - JOUR
T1 - Global 4-group symmetry and 't Hooft anomalies in topological axion electrodynamics
AU - Hidaka, Yoshimasa
AU - Nitta, Muneto
AU - Yokokura, Ryo
N1 - Funding Information:
R.Y. thanks Ryohei Kobayashi, Tatsuki Nakajima, Tadakatsu Sakai, and Yuya Tanizaki for helpful discussions. This work is supported in part by a Japan Society of Promotion of Science (JSPS)Grant-in-Aid for Scientific Research (KAKENHI Grants No. JP17H06462, JP18H01211 (Y.H.), JP18H01217 (M.N.), JP21J00480, JP21K13928 (R.Y.)).
Publisher Copyright:
© 2021 The Author(s) 2021. Published by Oxford University Press on behalf of the Physical Society of Japan.
PY - 2022/4/1
Y1 - 2022/4/1
N2 - We study higher-form global symmetries and a higher-group structure of a low-energy limit of (3 + 1)-dimensional axion electrodynamics in a gapped phase described by a topological action. We argue that the higher-form symmetries should have a semi-strict 4-group (3-crossed module) structure by consistency conditions of couplings of the topological action to background gauge fields for the higher-form symmetries. We find possible 't Hooft anomalies for the 4-group global symmetry, and discuss physical consequences.
AB - We study higher-form global symmetries and a higher-group structure of a low-energy limit of (3 + 1)-dimensional axion electrodynamics in a gapped phase described by a topological action. We argue that the higher-form symmetries should have a semi-strict 4-group (3-crossed module) structure by consistency conditions of couplings of the topological action to background gauge fields for the higher-form symmetries. We find possible 't Hooft anomalies for the 4-group global symmetry, and discuss physical consequences.
KW - B31
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U2 - 10.1093/ptep/ptab150
DO - 10.1093/ptep/ptab150
M3 - Article
AN - SCOPUS:85128519619
SN - 2050-3911
VL - 2022
JO - Progress of Theoretical and Experimental Physics
JF - Progress of Theoretical and Experimental Physics
IS - 4
M1 - 04A109
ER -