论文标题

全球3组对称性和X轴异常

Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics

论文作者

Hidaka, Yoshimasa, Nitta, Muneto, Yokokura, Ryo

论文摘要

我们研究了$(3+1)$尺寸的无质轴电动力学的高层结构。通过使用背景测量方法,我们表明,较高形式的对称性一定具有全局半分布3组(2划分的模块)结构,并且显示了3组的H Hooft异常。特别是,我们发现0形和1形对称性之间的立方混合'T Hooft异常,该异常特定于高层结构。

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.

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