标题： 二维$Q$-状态 Potts 模型中的全局对称性和共形Bootstrap 显示英文标题

标题： Global symmetry and conformal bootstrap in the two-dimensional $Q$-state Potts model

摘要： Potts共形场论是描述二维$Q$状态Potts模型临界现象的共形场论在中心荷上的解析延拓。 Potts共形场论的四点函数由两个约束条件决定：交叉对称性方程和$S_Q$对称性。 我们数值求解了Potts共形场论中几个四点函数的交叉对称性方程，针对$Q\in\mathbb{C}$。 在所有例子中，我们找到了与Potts共形场论的$S_Q$对称性一致的交叉对称性解。 特别是，我们确定了它们的交叉对称性解的数量、精确谱以及一些相应的融合规则。 与我们对$O(n)$模型的结果相反，在大多数例子中，存在额外的交叉对称性解，这些解的解释仍然未知。 显示英文摘要

摘要： The Potts conformal field theory is an analytic continuation in the central charge of conformal field theory describing the critical two-dimensional $Q$-state Potts model. Four-point functions of the Potts conformal field theory are dictated by two constraints: the crossing-symmetry equation and $S_Q$ symmetry. We numerically solve the crossing-symmetry equation for several four-point functions of the Potts conformal field theory for $Q\in\mathbb{C}$. In all examples, we find crossing-symmetry solutions that are consistent with $S_Q$ symmetry of the Potts conformal field theory. In particular, we have determined their numbers of crossing-symmetry solutions, their exact spectra, and a few corresponding fusion rules. In contrast to our results for the $O(n)$ model, in most of examples, there are extra crossing-symmetry solutions whose interpretations are still unknown.