\(O(n)\) model on the honeycomb lattice via reflection matrices: Surface critical behaviour

DOI10.1016/0550-3213(95)00355-VzbMath1003.82502arXivhep-th/9506074MaRDI QIDQ1899049

C. M. Yung, Murray T. Batchelor

Publication date: 3 October 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9506074

zbMATH Keywords

central chargesBethe ansatz equationsscaling dimensionsIzergin-Korepin R-matrixordinary surface transition

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Surveying the quantum group symmetries of integrable open spin chains ⋮ Fateev-Zamolodchikov and Kashiwara-Miwa models: Boundary star-triangle relations and surface critical properties ⋮ Boundary Yang-Baxter equation in the RSOS/SOS representation ⋮ Statistical mechanics of confined polymer networks ⋮ Conformal Field Theory Applied to Loop Models ⋮ On , , , , , , and reflectionK-matrices ⋮ Izergin-Korepin model with a boundary

Cites Work

• Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices
• Bethe ansatz and quantum groups: the light-cone lattice approach. I: Six vertex and SOS models
• Diagonal \(K\)-matrices and transfer matrix eigenspectra associated with the \(G^{(1)}_2\) \(R\)-matrix
• Universal properties of self-avoiding walks from two-dimensional field theory
• Conformal theory of the two-dimensional \(\text{O}(N)\) model with ordinary, extraordinary, and special boundary conditions
• EXACT S-MATRIX ASSOCIATED WITH SELF-AVOIDING POLYMER PROBLEM IN TWO DIMENSIONS
• MASSLESS FLOWS I: THE SINE-GORDON AND O(n) MODELS
• SPECTRUM OF THE TRANSFER MATRIX FOR THE U_q(B_n)-INVARIANT $A_{2n}^{(2)}$ OPEN SPIN CHAIN
• Surface critical behaviour of the honeycomb O(n) loop model with mixed ordinary and special boundary conditions
• Integrable open spin chains with nonsymmetric R-matrices
• A new exactly solvable case of an O(n)-model on a hexagonal lattice
• EXACTLY SOLVABLE MODELS AND FINITE SIZE CORRECTIONS
• Boundary conditions for integrable quantum systems
• Exact theory of polymer adsorption in analogy with the Kondo problem
• Direct calculation of the boundary S-matrix for the open Heisenberg chain