Two-dimensional spanning webs as (1, 2) logarithmic minimal model

DOI10.1088/1742-5468/2008/11/P11017zbMath1456.81354arXiv0810.2231MaRDI QIDQ5239450

S. Y. Grigorev, Jordan G. Brankov, I. Yu. Tipunin, V. B. Priezzhev

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2231

zbMATH Keywords

conformal field theorysolvable lattice modelsrigorous results in statistical mechanicsloop models and polymers

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10) Statistical mechanics of polymers (82D60) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (4)

Fundamental constants in the theory of two-dimensional uniform spanning trees ⋮ Transfer matrix for spanning trees, webs and colored forests ⋮ Integrals of motion for critical dense polymers and symplectic fermions ⋮ Watermelons on the half-plane

Cites Work

• Pair correlations in sandpile model: a check of logarithmic conformal field theory
• Boundary conditions in rational conformal field theories
• A \(c=-2\) boundary changing operator for the Abelian sandpile model
• The statistics of dimers on a lattice
• Integrable boundary conditions and {\cal W} -extended fusion in the logarithmic minimal models {\cal LM}(1\hbox{,}\, p)
• Self-organized critical state of sandpile automaton models
• Logarithmic minimal models
• Dimer problem in statistical mechanics-an exact result
• Boundary conditions in rational conformal field theories.
• Symplectic fermions

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