论文标题
拓扑阶段的理论发生
M-theoretic Genesis of Topological Phases
论文作者
论文摘要
我们通过在（2+1）d拓扑场理论和非纤维底3个manifolds之间建立对应关系，提出了一种构建和分类物质拓扑阶段的新型M理论方法。在这种结构中，拓扑阶段是M5-branes的宏观世界体积理论，围绕着某些类型的非纤维3个manifolds包裹。我们设计了一种系统的算法，用于从内部包裹的3个manifolds的拓扑数据中识别出新兴的拓扑阶段。作为我们方法的基准，我们将所有已知的统一的骨骼拓扑命令重现至等级4。值得注意的是，我们的构建不仅限于单一的骨髓理论，但它也可以以相等的方式产生费米子和/或非单身拓扑阶段。因此，我们为物质拓扑阶段分类铺平了一条新的途径。
We present a novel M-theoretic approach of constructing and classifying anyonic topological phases of matter, by establishing a correspondence between (2+1)d topological field theories and non-hyperbolic 3-manifolds. In this construction, the topological phases emerge as macroscopic world-volume theories of M5-branes wrapped around certain types of non-hyperbolic 3-manifolds. We devise a systematic algorithm for identifying the emergent topological phases from topological data of the internal wrapped 3-manifolds. As a benchmark of our approach, we reproduce all the known unitary bosonic topological orders up to rank 4. Remarkably, our construction is not restricted to an unitary bosonic theory but it can also generate fermionic and/or non-unitary topological phases in an equivalent fashion. Hence, we pave a new route toward the classification of topological phases of matter.
