标题： 复共形场理论的格点实现：具有$Q>4$个状态的二维蒲茨模型 显示英文标题

标题： Lattice realization of complex CFTs: Two-dimensional Potts model with $Q>4$ states

摘要： 二维的$Q$状态 Potts 模型具有实耦合，在$Q>4$时出现一阶相变。我们研究一种环模型实现，其中$Q$是一个连续参数。该模型允许临界点和三临界固定点在$Q=4$相撞，然后在$Q>4$处作为复共形不变理论出现，或者甚至在适当的复耦合常数下作为复$Q$出现。所有临界指数都可以作为$Q \le 4$已知精确结果的解析延拓获得。 我们详细验证了此情况，使用转移矩阵计算对$Q=5$进行验证。 显示英文摘要

摘要： The two-dimensional $Q$-state Potts model with real couplings has a first-order transition for $Q>4$. We study a loop-model realization in which $Q$ is a continuous parameter. This model allows for the collision of a critical and a tricritical fixed point at $Q=4$, which then emerge as complex conformally invariant theories at $Q>4$, or even complex $Q$, for suitable complex coupling constants. All critical exponents can be obtained as analytic continuation of known exact results for $Q \le 4$. We verify this scenario in detail for $Q=5$ using transfer-matrix computations.