边界共形场论与环模型
Boundary conformal field theories and loop models
摘要：
提出了一种系统的方法来提取共形回路模型的有理共形场论（CFT）。该方法是基于定义一个ADE模型的边界主要运营商通过使用这些运营商的融合矩阵作为邻接矩阵。这些回路模型遵守共形边界条件。我们讨论了循环模型，可以通过这种方法提取的最小的CFTs，然后我们将给出稀释的O（n）循环模型的正方形格子作为这些循环模型的例子。我们还对WZW SU（2）模型提出了一些建议。
英文摘要：
We propose a systematic method to extract conformal loop models for rational conformal field theories (CFT). Method is based on defining an ADE model for boundary primary operators by using the fusion matrices of these operators as adjacency matrices. These loop models respect the conformal boundary conditions. We discuss the loop models that can be extracted by this method for minimal CFTs and then we will give dilute O(n) loop models on the square lattice as examples for these loop models. We give also some proposals for WZW SU(2) models.
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