Non-invertible symmetries in axion electrodynamics
Non-invertible symmetries in axion electrodynamics
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发表时间：
2022-12
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通讯作者：
Ryo Yokokura
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作者：
Ryo Yokokura
研究了无质量轴子和无质量光子的$（3+1）$维轴子电动力学中的不可逆整体对称性。除了先前已知的不可逆的0-形式的轴子移位对称性，我们发现一个不可逆的1-形式的对称性与光子的运动方程。不可逆对称性缺陷的相关函数导致与轴子和光子的比安奇恒等式相关的可逆1-和2-形式对称性缺陷。利用关联函数，我们从整体对称性的观点讨论了扩展对象中的几种现象，如轴畴壁上的诱导分数电荷和磁通管交点上的分数轴算符.
We study non-invertible global symmetries in $(3+1)$-dimensional axion electrodynamics with a massless axion and a massless photon. In addition to a previously known non-invertible 0-form shift symmetry of the axion, we find a non-invertible 1-form symmetry associated with the equation of motion for the photon. Correlation functions of non-invertible symmetry defects lead to invertible 1- and 2-form symmetry defects associated with Bianchi identities for the axion and photon. In terms of the correlation functions, we discuss several phenomena for extended objects, such as induced fractional electric charges on axionic domain walls and fractional axionic operators on intersection points of magnetic flux tubes from the viewpoint of global symmetries.