关于渗流BCFT和Watts穿越概率
On the Percolation BCFT and the Crossing Probability of Watts
摘要：
对数共形场论描述临界渗流进一步探讨使用瓦特的概率，存在一个集群连接水平和垂直的边缘。边界条件改变运营商，支配瓦特的计算确定与一个主要的领域，不适合自然扩展Kac表。相反，一个“移位”的扩展Kac表被证明是相关的。扩充以前已知的对数理论的基础上Cardy的交叉概率由这个领域，得到一个更大的理论，其中新的类的不可分解的秩-2模块。尚未观察到3级Jordan细胞。一个高度非平凡的检查瓦特的领域的识别是，没有古拉里-路德维希型不一致的观察，在这个增强。文章最后扩展讨论了与扩展这些结果相关的各种主题，包括投射性，边界部门和不一致漏洞。
英文摘要：
The logarithmic conformal field theory describing critical percolation is further explored using Watts' determination of the probability that there exists a cluster connecting both horizontal and vertical edges. The boundary condition changing operator which governs Watts' computation is identified with a primary field which does not fit naturally within the extended Kac table. Instead a "shifted" extended Kac table is shown to be relevant. Augmenting the previously known logarithmic theory based on Cardy's crossing probability by this field, a larger theory is obtained, in which new classes of indecomposable rank-2 modules are present. No rank-3 Jordan cells are yet observed. A highly non-trivial check of the identification of Watts' field is that no Gurarie-Ludwig-type inconsistencies are observed in this augmentation. The article concludes with an extended discussion of various topics related to extending these results including projectivity, boundary sectors and inconsistency loopholes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
