An exact formula for three-point functions in critical loop models is proposed and validated using conformal bootstrap, transfer-matrix lattice studies, and conformal loop ensembles with Liouville quantum gravity.
Three-point connectivity constant forq-state potts spin clusters
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Proves convergence of even multi-point correlations in the fuzzy 4-Potts model to Coulomb-gas neutral charge sums and identifies moments of the limiting magnetization field.
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Exact solution of three-point functions in critical loop models
An exact formula for three-point functions in critical loop models is proposed and validated using conformal bootstrap, transfer-matrix lattice studies, and conformal loop ensembles with Liouville quantum gravity.
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Multi-point functions of a full-plane two-state fuzzy $4$-Potts model
Proves convergence of even multi-point correlations in the fuzzy 4-Potts model to Coulomb-gas neutral charge sums and identifies moments of the limiting magnetization field.