An integrable nineteen vertex model lying on a hypersurface

DOI10.1016/j.nuclphysb.2015.01.018zbMath1328.82012arXiv1410.6749OpenAlexW2008924739MaRDI QIDQ901993

N. E. Zubov

Publication date: 6 January 2016

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

Full work available at URL: https://arxiv.org/abs/1410.6749

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Combinatorial structures in finite projective spaces (51E20) Yang-Baxter equations (16T25)

Related Items (2)

Algebro-geometric approach for a centrally extended \(\operatorname{U}_q[\operatorname{sl}(2|2)\) R-matrix] ⋮ Reflection \(K\)-matrices for a nineteen vertex model with \(U_q [\operatorname{osp}(2 | 2)^{(2)}\) symmetry]

Uses Software

• SINGULAR

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• Quantum R matrix for the generalized Toda system
• Elementary transformations of Dynkin graphs and singularities on quartic surfaces
• Baxter's equations and algebraic geometry
• On normal projective surfaces with trivial dualizing sheaf
• Dynamical symmetry of integrable quantum systems
• Integrable three-state vertex models with weights lying on genus five curves
• Partition function of the eight-vertex lattice model
• Classification of three-state Hamiltonians solvable by Coordinate Bethe Ansatz
• New hierarchy of colored-braid-group representations

This page was built for publication: An integrable nineteen vertex model lying on a hypersurface