Three blocks solvable lattice models and Birman-Murakami-Wenzl algebra

DOI10.1016/j.nuclphysb.2018.11.009zbMath1405.81085arXiv1807.05603OpenAlexW2883257336MaRDI QIDQ1710179

Vladimir Belavin, Doron R. Gepner

Publication date: 15 January 2019

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

Full work available at URL: https://arxiv.org/abs/1807.05603

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on lattices (81T25) Groups and algebras in quantum theory and relations with integrable systems (81R12) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (4)

\(B_k\) spin vertex models and quantum algebras ⋮ On the algebraic approach to solvable lattice models ⋮ The 4-CB algebra and solvable lattice models ⋮ The 5-CB algebra and fused SU(2) lattice models

Cites Work

• Non-Abelian bosonization in two dimensions
• Current algebras and Wess-Zumino model in two dimensions
• Etiology of IRF models
• The Kauffman polynomial of links and representation theory
• Fused RSOS lattice models as higher-level nonunitary minimal cosets
• Conformal field theories with a low number of primary fields
• Braids, Link Polynomials and a New Algebra
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
• Unnamed Item

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