Boundary height fields in the Abelian sandpile model

Abstract

We study the abelian sandpile model on the upper half plane, and reconsider the correlations of the four height variables lying on the boundary. For more convenience, we carry out the analysis in the dissipative (massive) extension of the model and identify the boundary scaling fields corresponding to the four heights. We find that they all can be accounted for by the massive pertubation of a c=-2 logarithmic conformal field theory.

19 pages, 3 figures

References in corpus (5)

• Logarithmic Operators in Conformal Field Theory
• Symplectic Fermions
• A Local Logarithmic Conformal Field Theory
• Scaling fields in the two-dimensional abelian sandpile model
• A c=-2 boundary changing operator for the Abelian sandpile

Cited by in corpus (19)

• Solvable Critical Dense Polymers
• Holographic applications of logarithmic conformal field theories
• Height variables in the Abelian sandpile model: scaling fields and correlations
• Abelian Sandpile Model: a Conformal Field Theory Point of View
• Abelian Sandpile Model on the Honeycomb Lattice
• Pair correlations in sandpile model: a check of logarithmic conformal field theory
• The four height variables, boundary correlations, and dissipative defects in the Abelian sandpile model
• Logarithmic conformal invariance in the Abelian sandpile model
• Explicit characterization of the identity configuration in an Abelian Sandpile Model
• Wind on the boundary for the Abelian sandpile model
• Logarithmic two-point correlators in the Abelian sandpile model
• Exact integration of height probabilities in the Abelian Sandpile Model
• Integrals of Motion for Critical Dense Polymers and Symplectic Fermions
• Sandpile models in the large
• Three-leg correlations in the two component spanning tree on the upper half-plane
• Cut-off for sandpiles on tiling graphs
• The Baxter Q Operator of Critical Dense Polymers
• Sandpile probabilities on triangular and hexagonal lattices
• Multipoint correlators in the Abelian sandpile model