Connectivities of Potts Fortuin-Kasteleyn clusters and time-like Liouville correlator

DOI10.1016/j.nuclphysb.2013.07.014zbMath1331.82017arXiv1304.6511OpenAlexW2112910556MaRDI QIDQ5964112

Marco Picco, Raoul Santachiara, Gesualdo Delfino, Jacopo Viti

Publication date: 26 February 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6511

Mathematics Subject Classification ID

Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

• Potts q-color field theory and scaling random cluster model
• Conformal field theory
• Three-point function in the minimal Liouville gravity
• Bulk correlation functions in \(2D\) quantum gravity
• Infinite conformal symmetry in two-dimensional quantum field theory
• Two- and three-point functions in Liouville theory
• Exact results for the universal area distribution of clusters in percolation, Ising, and Potts models
• Conformal bootstrap in Liouville field theory
• Parafermionic excitations and critical exponents of random cluster and \(\mathrm{O}(n)\) models
• SLE for theoretical physicists
• Critical exponents of domain walls in the two-dimensional Potts model
• On three-point connectivity in two-dimensional percolation
• Factorization of correlations in two-dimensional percolation on the plane and torus
• Cluster densities at 2D critical points in rectangular geometries
• Percolation crossing formulae and conformal field theory