Combinatorial point for fused loop models

DOI10.1007/s00220-007-0225-3zbMath1185.82028arXivmath-ph/0603018OpenAlexW1838541084MaRDI QIDQ2454804

Paul Zinn-Justin

Publication date: 22 October 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0603018

Mathematics Subject Classification ID

Applications of graph theory (05C90) Exact enumeration problems, generating functions (05A15) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Loop models and \(K\)-theory ⋮ Integrable models from singly generated planar algebras ⋮ Fused braids and centralisers of tensor representations of \(U_q(gl_{N})\) ⋮ The eight-vertex model and lattice supersymmetry ⋮ Logarithmic superconformal minimal models ⋮ Fusion hierarchies,T-systems, andY-systems of logarithmic minimal models ⋮ Symmetry classes of alternating sign matrices in a nineteen-vertex model ⋮ On Baxter's Q operator of the higher spin XXZ chain at the Razumov-Stroganov point ⋮ Higher spin polynomial solutions of quantum Knizhnik-Zamolodchikov equation ⋮ Baxterisation of the fused Hecke algebra and \(R\)-matrices with \(gl(N)\)-symmetry ⋮ Critical behaviour of loop models on causal triangulations ⋮ Multi-state asymmetric simple exclusion processes

Cites Work

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• The quantum symmetricXXZchain at Δ = -½, alternating-sign matrices and plane partitions
• Higher spin vertex models with domain wall boundary conditions
• Boundary qKZ equation and generalized Razumov–Stroganov sum rules for open IRF models
• The quantum Knizhnik–Zamolodchikov equation, generalized Razumov–Stroganov sum rules and extended Joseph polynomials

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