论文标题
拓扑层的设计师非亚伯分区
Designer non-Abelian fractons from topological layers
论文作者
论文摘要
我们根据拓扑排序的两个维度层的平面子系统对称性制定了I型Fracton模型的结构,这些层已堆叠在三个环境空间维度中。通过我们的构造,可以将二维对称性拓扑顺序的阿贝尔对称组的任何缺陷晋升为fracton。这使我们能够构造支持非智能量子尺寸的手性边界和分形的分区模型。我们还找到了一个在其边界上支持非亚伯表面分区的线元模型。
We formulate a construction of type-I fracton models based on gauging planar subsystem symmetries of topologically ordered two dimensional layers that have been stacked in three ambient spatial dimensions. Via our construction, any defect of an Abelian symmetry group in a two dimensional symmetry-enriched topological order can be promoted into a fracton. This allows us to construct fracton models supporting chiral boundaries and fractons of noninteger quantum dimension. We also find a lineon model supporting non-Abelian surface fractons on its boundary.