A conformal bootstrap approach to critical percolation in two dimensions
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 f...
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| Format: | Article |
| Language: | English |
| Published: |
SciPost
2016-10-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.1.1.009 |
| Summary: | 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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| ISSN: | 2542-4653 |