TY - JOUR
T1 - Global 3-group symmetry and ’t Hooft anomalies in axion electrodynamics
AU - Hidaka, Yoshimasa
AU - Nitta, Muneto
AU - Yokokura, Ryo
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2021/1
Y1 - 2021/1
N2 - We investigate a higher-group structure of massless axion electrodynamics in (3 + 1) dimensions. By using the background gauging method, we show that the higher-form symmetries necessarily have a global semistrict 3-group (2-crossed module) structure, and exhibit ’t Hooft anomalies of the 3-group. In particular, we find a cubic mixed ’t Hooft anomaly between 0-form and 1-form symmetries, which is specific to the higher-group structure.
AB - We investigate a higher-group structure of massless axion electrodynamics in (3 + 1) dimensions. By using the background gauging method, we show that the higher-form symmetries necessarily have a global semistrict 3-group (2-crossed module) structure, and exhibit ’t Hooft anomalies of the 3-group. In particular, we find a cubic mixed ’t Hooft anomaly between 0-form and 1-form symmetries, which is specific to the higher-group structure.
KW - Effective Field Theories
KW - Global Symmetries
KW - Topological Field Theories
KW - Topological States of Matter
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U2 - 10.1007/JHEP01(2021)173
DO - 10.1007/JHEP01(2021)173
M3 - Article
AN - SCOPUS:85104391506
SN - 1126-6708
VL - 2021
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 1
M1 - 173
ER -