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arXiv 2212.04499hep-thcond-mat.str-elhep-ph
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不可逆高斯定律与轴子

Non-Invertible Gauss Law and Axions

Yichul Choi, Ho Tat Lam, Shu-Heng Shao

AI总结:

本文在axion-Maxwell理论中发现源于反常高斯定律的不可逆0-和1-形式全局对称性,揭示了其与Page电荷及Witten效应的联系,并推导出红外对称性能量标度的普适不等式,探讨了量子引力启示。

摘要:

在最小轴子-光子耦合的axion-Maxwell理论中,我们发现了源于朴素平移和中心对称性的不可逆0-形式和1-形式全局对称性。由于高斯定律存在反常,不存在守恒、规范不变且量子化的电荷。相反,利用半高阶规范(half higher gauging),我们找到了与不可逆1-形式全局对称性相关的不可逆高斯定律,该对称性与Page电荷有关。这些对称性在轴子场和Wilson线上可逆地作用,但在磁单极子和轴子弦上不可逆地作用,从而导致了与Witten效应相关的选择规则。我们还推导了缺陷之间的各种交叉关系。不可逆0-和1-形式全局对称性以令人联想到高阶群对称性的方式与其他可逆对称性混合。利用这种不可逆高阶对称性结构,我们推导出了在流向axion-Maxwell理论的任何重整化群流中,不同红外对称性出现的能量标度上的普适不等式。最后,我们讨论了其对量子引力中弱引力猜想(Weak Gravity Conjecture)和完备性假设(Completeness Hypothesis)的启示。

英文摘要:

In axion-Maxwell theory at the minimal axion-photon coupling, we find non-invertible 0- and 1-form global symmetries arising from the naive shift and center symmetries. Since the Gauss law is anomalous, there is no conserved, gauge-invariant, and quantized electric charge. Rather, using half higher gauging, we find a non-invertible Gauss law associated with a non-invertible 1-form global symmetry, which is related to the Page charge. These symmetries act invertibly on the axion field and Wilson line, but non-invertibly on the monopoles and axion strings, leading to selection rules related to the Witten effect. We also derive various crossing relations between the defects. The non-invertible 0- and 1-form global symmetries mix with other invertible symmetries in a way reminiscent of a higher-group symmetry. Using this non-invertible higher symmetry structure, we derive universal inequalities on the energy scales where different infrared symmetries emerge in any renormalization group flow to the axion-Maxwell theory. Finally, we discuss implications for the Weak Gravity Conjecture and the Completeness Hypothesis in quantum gravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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