论文标题
轴，高组和出现的对称性
Axions, Higher-Groups, and Emergent Symmetry
论文作者
论文摘要
轴，周期性的标量字段与插入密度相结合，具有丰富的更高形式的全局对称性。这些包括两种形式的全局对称性，该对称是测量轴突弦的电荷。当我们审查时，这些对称性通常合并为一种非亚伯式结构，其中混合了不同维度（例如点，线和字符串）的对称性。我们使用这种结构来得出模型对重新归一化组流的独立约束，这些群体在长距离实现轴的理论。这些给出了各种红外对称性的能量尺度上的普遍不平等。例如，我们表明，在轴阳性的任何紫外线完成中，轴弦可以衰减的能量尺度总是大于带电颗粒的质量尺度。
Axions, periodic scalar fields coupled to gauge fields through the instanton density, have a rich variety of higher-form global symmetries. These include a two-form global symmetry, which measures the charge of axion strings. As we review, these symmetries typically combine into a higher-group, a kind of non-abelian structure where symmetries that act on operators of different dimensions, such as points, lines, and strings, are mixed. We use this structure to derive model independent constraints on renormalization group flows that realize theories of axions at long distances. These give universal inequalities on the energy scales where various infrared symmetries emerge. For example, we show that in any UV completion of axion-Yang-Mills, the energy scale at which axion strings can decay is always larger than the mass scale of charged particles.
