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arXiv · 1806.02330

Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance

Giacomo Gori·Jacopo Viti
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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 $Q\rightarrow 1$ that corresponds to percolation where the observable has a logarithmic singularity. Our conjectures are tested against Monte Carlo simulations showing excellent agreement for $Q=1,2,3$.

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Giacomo Gori, Jacopo Viti. 2018-06-06. Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance. https://doi.org/10.1007/jhep12(2018)131

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