Composite subsystem symmetries and decoration of sub-dimensional excitations

• DOI: 10.48550/arxiv.2312.04467
• Publication Date: 2023-01-01
• Authors: Avi Vadali; Zongyuan Wang; Arpit Dua; Wilbur Shirley; Chen Xie
• Keywords: Fracton

Flux binding is a mechanism that well-understood for global symmetries. Given two systems, each with symmetry, gauging the composite symmetry instead of individual symmetries corresponds to condensation gauge charges belonging individually gauged theories and fluxes. The condensed charge created by "short" string given new minimal coupling corresponding symmetry. This paper studies what happens when combined subsystem are gauged, especially component fluxes have different sub-dimensional mobilities. We investigate $3+1$D systems planar where, example, planon one fracton charge. propose principle $\textit{Remote Detectability}$ determine how bind potentially change their mobility. understanding can then be used design models excitations decorated having nontrivial statistics or non-abelian fusion rules.