标题： 关于抽象自旋链DHR双模的结构 显示英文标题

标题： On the structure of DHR bimodules of abstract spin chains

摘要： 摘要自旋链的公理化结构化了在一维晶格上局部可观测量的结构，这些可观测量在全球对称性下是不变的，并且出现在二维拓扑有序自旋系统的物理边界上。 本文中，我们研究了抽象自旋链上的DHR双模的张量范畴性质。 假设荷传输器生成可观测量代数，我们证明与之相关的范畴相对于自然的编织具有模范畴结构。 在代数Haag对偶性的额外假设下，这个范畴成为半线融合范畴的Drinfeld中心。 显示英文摘要

摘要： Abstract spin chains axiomatize the structure of local observables on the 1D lattice which are invariant under a global symmetry, and arise at the physical boundary of 2+1D topologically ordered spin systems. In this paper, we study tensor categorical properties of DHR bimodules over abstract spin chains. Assuming that the charge transporters generate the algebra of observables, we prove that the associated category has a structure of modular tensor category with respect to the natural braiding. Under an additional assumption of algebraic Haag duality, this category becomes the Drinfeld center of the half-line fusion category.