Abelian Sandpile Model: a Conformal Field Theory Point of View

Abstract

In this paper we derive the scaling fields in $c=-2$ conformal field theory associated with weakly allowed clusters in abelian sandpile model and show a direct relation between the two models.

9 pages, 2 figures

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Cited by in corpus (27)

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• Holographic applications of logarithmic conformal field theories
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• From boundary to bulk in logarithmic CFT
• The logarithmic triplet theory with boundary
• Avalanche frontiers in dissipative abelian sandpile model as off-critical SLE(2)
• Abelian Sandpile Model on the Honeycomb Lattice
• Pair correlations in sandpile model: a check of logarithmic conformal field theory
• Direct Evidence for Conformal Invariance of Avalanche Frontier in Sandpile Models
• Logarithmic conformal invariance in the Abelian sandpile model
• Explicit characterization of the identity configuration in an Abelian Sandpile Model
• Coset Graphs in Bulk and Boundary Logarithmic Minimal Models
• Wind on the boundary for the Abelian sandpile model
• Logarithmic two-point correlators in the Abelian sandpile model
• Sandpile on uncorrelated site-diluted percolation lattice; From three to two dimensions
• W-extended Kac representations and integrable boundary conditions in the logarithmic minimal models WLM(1,p)
• Three-leg correlations in the two component spanning tree on the upper half-plane
• Sandpile probabilities on triangular and hexagonal lattices
• Perturbed Logarithmic CFT and Integrable Models
• Higher Order and boundary Scaling Fields in the Abelian Sandpile Model
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• Some Aspects of c=-2 Theory
• Sandpiles Subjected to Sinusoidal Drive
• Patterned and Disordered Continuous Abelian Sandpile Model
• Spatial Asymmetric Two dimensional Continuous Abelian Sandpile Model
• Indecomposable Representations in Z_n Symmetric b,c Ghost Systems via Deformations of the Virasoro Field