论文标题
周期性RSOS模型和任何链链中的拓扑缺陷
Topological defects in periodic RSOS models and anyonic chains
论文作者
论文摘要
我们使用RSO和Anyonic自旋链在最小模型CFT中提供了所有拓扑缺陷的晶格正则化。对于类型$（1，s）$的缺陷，我们将结果与最初在fibonacci anyons中鉴定的“拓扑对称性”联系起来[phys。莱特牧师。 98，160409（2007）]，以及[1811.02551]中讨论的Aggine temperley-Lieb代数中心。我们表明，缺陷的拓扑性质在晶格上也是如此。相比之下，我们的$ $（R，1）$的缺陷仅在连续限制中。识别是通过代数和伯特 - 萨茨技术的混合而获得的。我们的大部分讨论都是用哈密顿（或转移矩阵）形式主义进行的，直接和交叉的渠道都详细讨论。对于$（1，s）$的类型缺陷，我们还展示了如何实现其融合，事实证明，该融合旨在重现用于建造任何构建Anyonic链的基础单体类别的张量。
We provide a lattice regularization of all topological defects in minimal models CFTs using RSOS and anyonic spin chains. For defects of type $(1,s)$, we connect our result with the "topological symmetry" initially identified in Fibonacci anyons [Phys. Rev. Lett. 98, 160409 (2007)], and the center of the affine Temperley-Lieb algebra discussed in [1811.02551]. We show that the topological nature of the defects is exact on the lattice as well. Our defects of type $(r,1)$, in contrast, are only topological in the continuum limit. Identifications are obtained by a mix of algebraic and Bethe-ansatz techniques. Most of our discussion is framed in a Hamiltonian (or transfer matrix) formalism, and direct and crossed channel are both discussed in detail. For defects of type $(1,s)$, we also show how to implement their fusion, which turns out to reproduce the tensor product of the underlying monoidal category used to build the anyonic chain.
