Three-dimensional integrable models and associated tangle invariants.

DOI10.1007/BF02183703zbMath1080.82528arXivhep-lat/9405009OpenAlexW1987029766MaRDI QIDQ1593188

Fausto Valz-Gris, Bianca L. Cerchiai, Mairizio Martellini

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-lat/9405009

zbMATH Keywords

Yang-Baxter equationZamolodchikov modelMarkov tracetetrahedron equationbraid group representationBaxter-Bazhanov modelscyclotomic knot invariantsgeneralized chiral Potts modelsThree-dimensional solvable models

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Exactly solvable models; Bethe ansatz (82B23)

Related Items (3)

Knot invariants associated with a particular \(N\to\infty\) continuous limit of the Baxter-Bazhanov model. ⋮ Three-dimensional vertex model in statistical mechanics from Baxter-Bazhanov model. ⋮ Histogram Monte Carlo position-space renormalization group: applications to the site percolation.

Cites Work

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• Cyclotomic invariants for links
• Metaplectic link invariants
• Generalized chiral Potts models and minimal cyclic representations of \(U_ q (\widehat {\mathfrak gl}(n,C))\)
• Braid group representations arising from the generalized chiral Potts models
• \((Z_ N\times\;)^{n-1}\) generalization of the chiral Potts model
• Braided compact closed categories with applications to low dimensional topology
• SPATIAL SYMMETRY, LOCAL INTEGRABILITY AND TETRAHEDRON EQUATIONS IN THE BAXTER-BAZHANOV MODEL
• Star-triangle relation for a three-dimensional model
• BAXTERIZATION

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