论文标题
非液体细胞状态
Non-Liquid Cellular States
论文作者
论文摘要
量子非液态状态和分裂秩序的存在，无论是盖帽还是无间隙状态，都挑战了我们对纠缠物质阶段的理解。我们将细胞拓扑状态概括为液体或非液体细胞态。我们提出了一种机制，可以通过粘合量规对称对称性与量规对称范围界面作为细胞网络中的扩展缺陷（包括高对称性的缺陷）在任何维度中构建更通用的非亚伯利亚状态。我们的方法还自然结合了任何颗粒/弦凝结和复合弦（与粒子串或p串）/膜冷凝。该方法显示了通过拓扑，几何学，几何学和翻新一致性标准（通过某些修改的群体共同体学或共同体理论数据）粘合熟悉的扩展拓扑量子场理论或共形场理论数据，在张量网络中仍可以指导我们分析非液体状态。 （可以从K-Matrix Chern-Simons理论方法和结合结构结构的K-Matrix Chern-Simons理论方法中理解出Abelian结构的一部分。）这种方法也可能导致我们朝着高于高符号和子系统/子系统/次级符号符号符号的量子系统的统一框架。
The existence of quantum non-liquid states and fracton orders, both gapped and gapless states, challenges our understanding of phases of entangled matter. We generalize the cellular topological states to liquid or non-liquid cellular states. We propose a mechanism to construct more general non-abelian states by gluing gauge-symmetry-breaking vs gauge-symmetry-extension interfaces as extended defects in a cellular network, including defects of higher-symmetries, in any dimension. Our approach also naturally incorporates the anyonic particle/string condensations and composite string (related to particle-string or p-string)/membrane condensations. This approach shows gluing the familiar extended topological quantum field theory or conformal field theory data via topology, geometry, and renormalization consistency criteria (via certain modified group cohomology or cobordism theory data) in a tensor network can still guide us to analyze the non-liquid states. (Part of the abelian construction can be understood from the K-matrix Chern-Simons theory approach and the coupled-layer-by-junction constructions.) This approach may also lead us toward a unifying framework for quantum systems of both higher-symmetries and sub-system/sub-dimensional symmetries.
