Solvable lattice models labelled by Dynkin diagrams

DOI10.1088/0305-4470/26/10/005zbMath0781.05048arXivhep-th/9301026OpenAlexW2053287742MaRDI QIDQ5288422

Bernard Nienhuis, S. Ole Warnaar

Publication date: 19 December 1993

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9301026

zbMATH Keywords

Lie algebralattice modelsgraphsDynkin diagramsRSOS modelssolvable loop models

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Other designs, configurations (05B30) Exactly solvable models; Bethe ansatz (82B23) Graph theory (05C99)

Related Items (18)

Discrete holomorphicity at two-dimensional critical points ⋮ Order parameters of the dilute A models ⋮ Exact solution and finite size properties of the \(U_{q}[\text{osp}(2| 2m)\) vertex models] ⋮ Integrable anyon chains: from fusion rules to face models to effective field theories ⋮ The fully packed loop model as a non-rationalW₃conformal field theory ⋮ Fusion hierarchies, T-systems and Y-systems for the dilute $\boldsymbol{A_2^{(2)}}$ loop models ⋮ Discrete holomorphicity and integrability in loop models with open boundaries ⋮ Boundary conditions in rational conformal field theories. ⋮ The free-fermionic \(C_2^{(1)}\) loop model, double dimers and Kashaev's recurrence ⋮ New integrable lattice models from Fuss-Catalan algebras ⋮ Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices ⋮ Algebraic construction of higher-rank dilute A models ⋮ Solvable RSOS models based on the dilute BWM algebra ⋮ Intersecting loop models on \({\mathbb Z}^ d\): rigorous results. ⋮ Boundary conditions in rational conformal field theories ⋮ Critical behaviour of the dilute \(O(n)\), Izergin-Korepin and dilute \(A_L\) face models: Bulk properties ⋮ Exact Results for Hamiltonian Walks from the Solution of the Fully Packed Loop Model on the Honeycomb Lattice ⋮ Fusion hierarchies,T-systems andY-systems for the ${A_2^{(1)}}$ models

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