论文标题
对称拓扑阶段的对称及其应用的物理学及其应用
Physics of Symmetry Protected Topological phases involving Higher Symmetries and their Applications
论文作者
论文摘要
我们讨论物理构造以及涉及1形对称性的各种对称性保护拓扑阶段的边界特性，从一个空间维度（1D）到四个空间维度（4D）。例如，涉及1型对称性的4D SPT状态的原型3D边界状态可以是无间隙光子相（量子电动力学），也可以是由1形对称性富含1型对称性的间隙拓扑顺序，即这些拓扑的循环激发，这些拓扑均带有非平凡的1型对称性手感。这项研究还旨在诊断3D物质状态的异常。还将讨论具有1形式对称性的SPT状态与凝结物质系统（例如一个较低维度的量子二聚体模型）之间的连接。量子二聚体模型是否可以具有微不足道的相位相位，取决于其在一个较高维度上的相应散装状态的性质。
We discuss physical constructions, and the boundary properties of various symmetry protected topological phases that involve 1-form symmetries, from one spatial dimension (1d) to four spatial dimensions (4d). For example, the prototype 3d boundary state of 4d SPT states involving 1-form symmetries can be either a gapless photon phase (quantum electrodynamics) or gapped topological order enriched by 1-form symmetries, namely the loop excitations of these topological orders carry nontrivial 1-form symmetry charges. This study also serves the purpose of diagnosing anomaly of 3d states of matter. Connection between SPT states with 1-form symmetries and condensed matter systems such as quantum dimer models at one lower dimension will also be discussed. Whether a quantum dimer model can have a trivial gapped phase or not depends on the nature of its corresponding bulk state in one higher dimension.
