论文标题
不可换性的手性对称性和指数层次结构
Non-Invertible Chiral Symmetry and Exponential Hierarchies
论文作者
论文摘要
我们阐明了遭受Abelian Adler-Bell-Jackiw异常的经典对称性的命运。这些对称性并没有被彻底摧毁，而是作为不可糊化的拓扑全球对称性缺陷，与世界多样的任何自由度的自由度都通过磁性的一式全球对称性，如分数大厅效应。这些不可变形的手性对称性意味着选择相关函数的选择规则，并在熟悉的无量子量子电动力学和轴模型（及其非阿布莱尔概括）的熟悉模型中产生。当相关的散装磁性单形式对称性通过动态磁单孔的传播打破时，非逆向性侵犯了不可变形的手性对称缺陷的选择规则。这导致技术上自然的指数层次结构在轴突电位和费米昂质量中。
We elucidate the fate of classical symmetries which suffer from abelian Adler-Bell-Jackiw anomalies. Instead of being completely destroyed, these symmetries survive as non-invertible topological global symmetry defects with worldvolume anyon degrees of freedom that couple to the bulk through a magnetic one-form global symmetry as in the fractional hall effect. These non-invertible chiral symmetries imply selection rules on correlation functions and arise in familiar models of massless quantum electrodynamics and models of axions (as well as their non-abelian generalizations). When the associated bulk magnetic one-form symmetry is broken by the propagation of dynamical magnetic monopoles, the selection rules of the non-invertible chiral symmetry defects are violated non-perturbatively. This leads to technically natural exponential hierarchies in axion potentials and fermion masses.
