Conformal two-boundary loop model on the annulus

DOI10.1016/j.nuclphysb.2008.12.023zbMath1194.82019arXiv0812.2746OpenAlexW2052992254WikidataQ58082332 ScholiaQ58082332MaRDI QIDQ993172

Jérôme Dubail, Jesper Lykke Jacobsen, Hubert Saleur

Publication date: 10 September 2010

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

Full work available at URL: https://arxiv.org/abs/0812.2746

zbMATH Keywords

Potts modelpercolation clusterscrossing formulae

Mathematics Subject Classification ID

Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (16)

Critical site percolation on the triangular lattice: from integrability to conformal partition functions ⋮ Conformal boundary conditions in the critical \({\mathcal O}(n)\) model and dilute loop models ⋮ Boundary transitions of the \(O(n)\) model on a dynamical lattice ⋮ Conformal field theory at central charge \(c=0\): a measure of the indecomposability \((b)\) parameters ⋮ \(U_{\mathfrak{q}}\mathfrak{sl}_2 \)-invariant non-compact boundary conditions for the XXZ spin chain ⋮ Algebraic Bethe ansatz for the open XXZ spin chain with non-diagonal boundary terms via \(U_{\mathfrak{q}}\mathfrak{sl}_2\) symmetry ⋮ A physical approach to the classification of indecomposable Virasoro representations from the blob algebra ⋮ Operator content of the critical Potts model in \(d\) dimensions and logarithmic correlations ⋮ Transfer matrices and partition-function zeros for antiferromagnetic Potts models. VI. Square lattice with extra-vertex boundary conditions ⋮ Indecomposability parameters in chiral logarithmic conformal field theory ⋮ The Jordan structure of two-dimensional loop models ⋮ Discrete holomorphicity and integrability in loop models with open boundaries ⋮ Logarithmic minimal models with Robin boundary conditions ⋮ Conformal partition functions of critical percolation fromD₃thermodynamic Bethe Ansatz equations ⋮ Edge states and conformal boundary conditions in super spin chains and super sigma models ⋮ Conformal Field Theory Applied to Loop Models

Cites Work

• Conformal boundary loop models
• Character decomposition of Potts model partition functions. I: Cyclic geometry
• Logarithmic extensions of minimal models: characters and modular transformations
• On an algebraic approach to higher dimensional statistical mechanics
• The blob algebra and the periodic Temperley-Lieb algebra
• Finite size effects in the \(XXZ\) and sine-Gordon models with two boundaries
• Enlarged symmetry algebras of spin chains, loop models, and \(S\)-matrices
• Completeness of the Bethe Ansatz solution of the open XXZ chain with nondiagonal boundary terms
• Crossing formulae for critical percolation in an annulus
• Lectures on branes in curved backgrounds
• Combinatorial aspects of boundary loop models
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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