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arXiv · 1607.07224

A conformal bootstrap approach to critical percolation in two dimensions

Marco Picco·Sylvain Ribault·Raoul Santachiara
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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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Marco Picco, Sylvain Ribault, Raoul Santachiara. 2016-07-25. A conformal bootstrap approach to critical percolation in two dimensions. https://doi.org/10.21468/scipostphys.1.1.009

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