In a recent paper, we considered the effects of the torus lattice topology on the two-point connectivity of $Q-$ Potts clusters. These effects are universal and probe non-trivial structure constants of the theory. We complete here this work by considering the torus corrections to the three- and four-point connectivities. These corrections, which depend on the scale invariant ratios of the triangle and quadrilateral formed by the three and four given points, test other non-trivial structure constants. We also present results of Monte Carlo simulations in good agreement with our predictions.

中文翻译：

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圆环上二维临界 Q-Potts 随机簇的三点和四点连通性

在最近的一篇论文中，我们考虑了环面点阵拓扑对 $Q-$Potts 簇的两点连通性的影响。这些效应是普遍的，探索了理论的非平凡结构常数。我们在这里通过考虑对三点和四点连接的环面校正来完成这项工作。这些修正取决于由三个和四个给定点形成的三角形和四边形的尺度不变比，测试其他非平凡的结构常数。我们还提供了与我们的预测非常一致的 Monte Carlo 模拟结果。