论文标题
二维$ q $ - 状态模型中的全球对称性和共形性启动
Global symmetry and conformal bootstrap in the two-dimensional $Q$-state Potts model
论文作者
论文摘要
POTTS保串场理论是描述关键二维$ Q $ state Potts模型的共形场理论中心指控中的一个分析延续。 POTTS共形场理论的四点函数由两个约束决定：交叉对称方程和$ S_Q $对称。我们在数值上为Potts共形场理论的几个四点函数求解了交叉对称方程，以\ Mathbb {c} $中的$ q \。在所有示例中，我们都会发现与Potts共形场理论的$ S_Q $对称性一致的交叉对称解决方案。特别是，我们确定了它们的交叉对称解，确切的光谱和一些相应的融合规则的数量。与我们对$ O（n）$模型的结果相反，在大多数示例中，有额外的交叉对称解决方案的解释仍然未知。
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.
