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.
Finite-size corrections for universal boundary entropy in bond percolation
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We compute the boundary entropy for bond percolation on the square lattice in the presence of a boundary loop weight, and prove explicit and exact expressions on a strip and on a cylinder of size $L$. For the cylinder we provide a rigorous asymptotic analysis which allows for the computation of finite-size corrections to arbitrary order. For the strip we provide exact expressions that have been verified using high-precision numerical analysis. Our rigorous and exact results corroborate an argument based on conformal field theory, in particular concerning universal logarithmic corrections for the case of the strip due to the presence of corners in the geometry. We furthermore observe a crossover at a special value of the boundary loop weight.
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UNVERDICTED 2representative citing papers
Explicit finite-n lattice correlators for dense polymers on a cylinder are computed via Temperley-Lieb algebra and shown to match ratios of c=-2 CFT correlators involving boundary fields of dimensions -1/8 and 0, with non-abelian fusion.
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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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Logarithmic correlation functions for critical dense polymers on the cylinder
Explicit finite-n lattice correlators for dense polymers on a cylinder are computed via Temperley-Lieb algebra and shown to match ratios of c=-2 CFT correlators involving boundary fields of dimensions -1/8 and 0, with non-abelian fusion.