Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance
Journal article published in 2018 by
Giacomo Gori,
Jacopo Viti 
This paper is made freely available by the publisher.
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Abstract
Abstract We conjecture an exact form for an universal ratio of four-point cluster connectivities in the critical two-dimensional Q-color Potts model. We also provide analogous results for the limit Q → 1 that corresponds to percolation where the observable has a logarithmic singularity. Our conjectures are tested against Monte Carlo simulations showing excellent agreement for Q = 1, 2, 3.