Abstract:
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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Based on
https://arxiv.org/abs/2205.08800