TY - JOUR
T1 - Topological axion electrodynamics and 4-group symmetry
AU - Hidaka, Yoshimasa
AU - Nitta, Muneto
AU - Yokokura, Ryo
N1 - Funding Information:
RY thanks Ryohei Kobayashi, Tatsuki Nakajima, Tadakatsu Sakai, and Yuya Tanizaki for helpful discussions. This work is supported in part by Japan Society of Promotion of Science ( JSPS ) Grant-in-Aid for Scientific Research (KAKENHI Grants No. JP17H06462 , JP18H01211 (YH), JP18H01217 (MN) JP21J00480 , JP21K13928 (RY)).
Publisher Copyright:
© 2021 The Author(s)
PY - 2021/12/10
Y1 - 2021/12/10
N2 - We study higher-form symmetries and a higher group in the low energy limit of a (3+1)-dimensional axion electrodynamics with a massive axion and a massive photon. A topological field theory describing topological excitations with the axion-photon coupling, which we call a topological axion electrodynamics, is obtained in the low energy limit. Higher-form symmetries of the topological axion electrodynamics are specified by equations of motion and Bianchi identities. We find that there are induced anyons on the intersections of symmetry generators. By a link of worldlines of the anyons, we show that the worldvolume of an axionic domain wall is topologically ordered. We further specify the underlying mathematical structure elegantly describing all salient features of the theory to be a 4-group.
AB - We study higher-form symmetries and a higher group in the low energy limit of a (3+1)-dimensional axion electrodynamics with a massive axion and a massive photon. A topological field theory describing topological excitations with the axion-photon coupling, which we call a topological axion electrodynamics, is obtained in the low energy limit. Higher-form symmetries of the topological axion electrodynamics are specified by equations of motion and Bianchi identities. We find that there are induced anyons on the intersections of symmetry generators. By a link of worldlines of the anyons, we show that the worldvolume of an axionic domain wall is topologically ordered. We further specify the underlying mathematical structure elegantly describing all salient features of the theory to be a 4-group.
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U2 - 10.1016/j.physletb.2021.136762
DO - 10.1016/j.physletb.2021.136762
M3 - Article
AN - SCOPUS:85119074028
VL - 823
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
M1 - 136762
ER -