复合子系统对称性与亚维度激发的装饰
Composite subsystem symmetries and decoration of sub-dimensional excitations
AI总结：
本文研究组合子系统对称性被规范时的通量绑定机制，提出远程可探测性原理，并用于设计具有非平凡统计或非阿贝尔融合规则装饰的亚维度激发分形子模型。
摘要：
通量绑定是一种对全局对称性而言已被充分理解的机制。给定两个系统，每个系统各有一个全局对称性，对复合对称性而非各个单独对称性进行规范，对应于由分别规范的理论的规范电荷的复合体的凝聚以及规范通量的绑定。凝聚的复合电荷由一条“短”弦产生，该短弦由对应于复合对称性的新的最小耦合给出。本文研究了当组合子系统对称性被规范时会发生什么，特别是当分量电荷和通量具有不同的亚维度迁移率时。我们研究了具有平面称性的3+1维系统，例如，一个平面子电荷的平面对称性与一个分形子电荷的平面对称性之一相结合。我们提出“远程可探测性”原理，以确定通量如何绑定并可能改变其迁移率。这一理解随后可用于设计分形子模型，其中的亚维度激发被具有非平凡统计或非阿贝尔融合规则的激发所装饰。
英文摘要：
Flux binding is a mechanism that is well-understood for global symmetries. Given two systems, each with a global symmetry, gauging the composite symmetry instead of individual symmetries corresponds to the condensation of the composite of gauge charges belonging to individually gauged theories and the binding of the gauge fluxes. The condensed composite charge is created by a "short" string given by the new minimal coupling corresponding to the composite symmetry. This paper studies what happens when combined subsystem symmetries are gauged, especially when the component charges and fluxes have different sub-dimensional mobilities. We investigate $3+1$D systems with planar symmetries where, for example, the planar symmetry of a planon charge is combined with one of the planar symmetries of a fracton charge. We propose the principle of $\textit{Remote Detectability}$ to determine how the fluxes bind and potentially change their mobility. This understanding can then be used to design fracton models with sub-dimensional excitations that are decorated with excitations having nontrivial statistics or non-abelian fusion rules.
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