周期RSOS模型和任意子链中的拓扑缺陷
Topological defects in periodic RSOS models and anyonic chains
摘要：
我们提供了一个晶格正则化的所有拓扑缺陷的极小模型CFTs使用RSOS和任意自旋链。对于$(1,s)$型缺陷，我们将我们的结果与最初在Fibonacci anyons [Phys. Rev. Lett. 98，160409（2007）]，以及在[1811.02551]中讨论的仿射Temperley-Lieb代数的中心。我们表明，拓扑性质的缺陷是准确的晶格上。相反，我们的$(r,1)$型缺陷只在连续极限中是拓扑的。通过混合代数和Bethe-anomaly技术获得标识。我们的大部分讨论是在一个哈密顿（或传输矩阵）形式主义的框架，直接和交叉通道都进行了详细讨论。对于缺陷类型的$(1,s)$，我们还展示了如何实现他们的融合，这原来是复制张量积的基础monoidal类别用于建立的anyonic链。
英文摘要：
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.
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