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A conformal bootstrap approach to critical percolation in two dimensions

Marco Picco, Sylvain Ribault, Raoul Santachiara

SciPost Phys. 1, 009 (2016) · published 27 October 2016


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.

View more material from these authors:

Ribault, Sylvain  ·  Picco, Marco  ·  Santachiara, Raoul