Conjecture of an exact formula for 3-point functions of ℓ-leg and diagonal fields in critical loop models, supported by transfer-matrix numerics on cylinders that agree in most cases.
Exploration trees and conformal loop ensembles
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We construct and study the conformal loop ensembles CLE(kappa), defined for all kappa between 8/3 and 8, using branching variants of SLE(kappa) called exploration trees. The conformal loop ensembles are random collections of countably many loops in a planar domain that are characterized by certain conformal invariance and Markov properties. We conjecture that they are the scaling limits of various random loop models from statistical physics, including the O(n) loop models.
verdicts
UNVERDICTED 2representative citing papers
Analytic continuation of known conformal data from the Q≤4 Potts loop model yields complex CFTs describing the model for Q>4 and complex Q with suitable complex couplings, supported by transfer-matrix checks.
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Three-point functions in critical loop models
Conjecture of an exact formula for 3-point functions of ℓ-leg and diagonal fields in critical loop models, supported by transfer-matrix numerics on cylinders that agree in most cases.
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Making complex CFTs real: The two-dimensional Potts model for $Q>4$ and complex $Q$
Analytic continuation of known conformal data from the Q≤4 Potts loop model yields complex CFTs describing the model for Q>4 and complex Q with suitable complex couplings, supported by transfer-matrix checks.