Hao Wu, Eveliina Peltola: Connection probabilities for random-cluster models


We find the scaling limits of a general class of boundary-to-boundary connection probabilities and multiple interfaces in the critical planar FK-Ising model, with various boundary conditions. We also discuss conjectural formulas using Coulomb-gas integrals for the corresponding quantities in general critical planar random-cluster models. The results can be thought of as exact solvability results, and they match with the predictions for the corresponding conformal field theory.


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