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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


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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BiBTeX

@Article{SciPostPhys.1.1.009,
title={{A conformal bootstrap approach to critical percolation in two dimensions}},
author={Marco Picco and Sylvain Ribault and Raoul Santachiara},
journal={SciPost Phys.},
volume={1},
issue={1},
pages={009},
year={2016},
publisher={SciPost},
doi={10.21468/SciPostPhys.1.1.009},
url={https://scipost.org/10.21468/SciPostPhys.1.1.009},
}


View more material from these authors:

Ribault, Sylvain   Picco, Marco   Santachiara, Raoul  


SciPost Physics is published by the SciPost Foundation under the journal doi: 10.21468/SciPostPhys and ISSN 2542-4653.