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 -