Three- and four-point connectivities of two-dimensional critical $Q-$ Potts random clusters on the torus

Understand

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.