An exact formula for three-point functions in critical loop models is proposed and validated using conformal bootstrap, transfer-matrix lattice studies, and conformal loop ensembles with Liouville quantum gravity.
Grans-Samuelsson, J
4 Pith papers cite this work. Polarity classification is still indexing.
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Torus one-point functions of primary fields in critical loop models are infinite sums of conformal blocks whose coefficients are products of double Gamma functions and polynomials in the loop weight, obtained via numerical bootstrap from sphere four-point functions at different central charge.
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.
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.
citing papers explorer
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Exact solution of three-point functions in critical loop models
An exact formula for three-point functions in critical loop models is proposed and validated using conformal bootstrap, transfer-matrix lattice studies, and conformal loop ensembles with Liouville quantum gravity.
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Torus one-point functions in critical loop models
Torus one-point functions of primary fields in critical loop models are infinite sums of conformal blocks whose coefficients are products of double Gamma functions and polynomials in the loop weight, obtained via numerical bootstrap from sphere four-point functions at different central charge.
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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.