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A conformal bootstrap approach to critical percolation in two dimensions

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arxiv 1607.07224 v2 pith:MMNGYQTH submitted 2016-07-25 hep-th cond-mat.stat-mechmath-phmath.MP

Marco Picco , Sylvain Ribault , Raoul Santachiara This is my paper · ORCID
classification hep-thcond-mat.stat-mechmath-phmath.MP
keywords ansatzapproachbootstrapconformalcriticaldimensionsfour-pointfunctions
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Logarithmic operators in $c=0$ bulk CFTs

    hep-th 2024-11 conditional novelty 7.0 of 10

    The bulk energy four-point function in percolation and self-avoiding walk CFTs is non-zero at c=0, driven by coupling to a rank-3 Jordan block associated with the second energy operator.

  2. Exactly solvable conformal field theories

    hep-th 2024-11 conditional novelty 3.0 of 10

    A lecture-note review unifying the exactly solvable 2d CFTs without extended chiral symmetry under the bootstrap framework, with a conjectural roadmap for solving the loop CFTs.

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