Abelian sandpile model: a conformal field theory point of view

DOI10.1016/j.nuclphysb.2005.04.002zbMath1131.82305arXivcond-mat/0410434OpenAlexW2035690510WikidataQ60264686 ScholiaQ60264686MaRDI QIDQ875865

Mohammad Ali Rajabpour, Shahin Rouhani, Saman Moghimi-Araghi

Publication date: 16 April 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0410434

zbMATH Keywords

conformal field theorysandpile modelself organized criticality

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (7)

Perturbed logarithmic CFT and integrable models ⋮ Coset graphs in bulk and boundary logarithmic minimal models ⋮ Sandpile probabilities on triangular and hexagonal lattices ⋮ Pair correlations in sandpile model: a check of logarithmic conformal field theory ⋮ Logarithmic two-point correlators in the Abelian sandpile model ⋮ Indecomposable representations in \(\mathbb Z_n\) symmetric \(b, c\) ghost systems via deformations of the Virasoro field ⋮ Wind on the boundary for the Abelian sandpile model

Cites Work

• A \(c=-2\) boundary changing operator for the Abelian sandpile model
• Logarithmic operators in conformal field theory
• Correlation functions of dense polymers andc=-2conformal field theory
• BITS AND PIECES IN LOGARITHMIC CONFORMAL FIELD THEORY
• Self-organized critical state of sandpile automaton models
• Boundary height fields in the Abelian sandpile model
• Unnamed Item

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