Global 4-group symmetry and 't Hooft anomalies in topological axion electrodynamics
Global 4-group symmetry and 't Hooft anomalies in topological axion electrodynamics
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DOI：
10.1093/ptep/ptab150
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发表时间：
2021-08
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影响因子：
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通讯作者：
Y. Hidaka;M. Nitta;Ryo Yokokura
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作者：
Y. Hidaka;M. Nitta;Ryo Yokokura
我们研究了（3 + 1）维轴子电动力学在拓扑作用描述的带隙相的低能极限的高阶形式的全局对称性和高阶群结构。通过拓扑作用量与背景规范场耦合的相容性条件，证明了高阶对称性具有半严格4群（3交叉模）结构.我们发现可能的特胡夫特异常的4群全球对称性，并讨论物理后果。Yukhidaka@post.kek.jp <$nitta@phys-h.keio.ac.jp Yukryokur@post.kek.jp ar X iv：2 10 8. 12 56 4v 1 [ he pth ] 2 8 A ug 2 02 1
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. ∗hidaka@post.kek.jp †nitta@phys-h.keio.ac.jp ‡ryokokur@post.kek.jp ar X iv :2 10 8. 12 56 4v 1 [ he pth ] 2 8 A ug 2 02 1