论文标题
具有复合电流的高组对称性的现场理论
Field theories with higher-group symmetry from composite currents
论文作者
论文摘要
较高形式的对称性与仅作用于扩展对象而不是点粒子的转换有关。通常，更高形式的对称性与普通点粒子（0形式），对称性相对，可以通过直接产物对称组共同描述它们。但是，当0形式和更高形式的对称性的作用被纠缠时，需要更一般的数学结构，与较高的分类组有关。先前以自上而下的方式构建了具有连续高层对称性的系统，从具有特定混合'T HOFOFT异常的量子场理论下降。我表明，当手头的物理系统至少包含两个不同给定的自发损坏的对称性时，从自下而上，低能的角度出现了高层对称性。这通常导致出现的高格式对称性的层次结构，与该理论的拓扑流的格拉曼（Grassmann）代数相对应，具有潜在的高层结构。具有这样高组对称性的物理系统的实例包括超氟混合物和轴支电动力学的变体。
Higher-form symmetries are associated with transformations that only act on extended objects, not on point particles. Typically, higher-form symmetries live alongside ordinary, point-particle (0-form), symmetries and they can be jointly described in terms of a direct product symmetry group. However, when the actions of 0-form and higher-form symmetries become entangled, a more general mathematical structure is required, related to higher categorical groups. Systems with continuous higher-group symmetry were previously constructed in a top-down manner, descending from quantum field theories with a specific mixed 't Hooft anomaly. I show that higher-group symmetry also naturally emerges from a bottom-up, low-energy perspective, when the physical system at hand contains at least two different given, spontaneously broken symmetries. This leads generically to a hierarchy of emergent higher-form symmetries, corresponding to the Grassmann algebra of topological currents of the theory, with an underlying higher-group structure. Examples of physical systems featuring such higher-group symmetry include superfluid mixtures and variants of axion electrodynamics.
