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A conformal bootstrap approach to critical percolation in two dimensions (1607.07224v2)
Published 25 Jul 2016 in hep-th, cond-mat.stat-mech, math-ph, and math.MP
Abstract: We study four-point functions of critical percolation in two dimensions, and more generally of the Potts model. We propose an exact ansatz for the spectrum: an infinite, discrete and non-diagonal combination of representations of the Virasoro algebra. Based on this ansatz, we compute four-point functions using a numerical conformal bootstrap approach. The results agree with Monte-Carlo computations of connectivities of random clusters.
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