Theta-function parametrization and fusion for 3D integrable Boltzmann weights

2003/05/31 by G. von Gehlen, G von Gehlen, S. Pakuliak +2 · 1 citation
Mathematics · Medicine · Physics and Astronomy · #Advanced Neuroimaging Techniques and Applications #Geometric Analysis and Curvature Flows #Markov Chains and Monte Carlo Methods #hep-th #nlin.SI

paper · pdf · doi:10.1088/0305-4470/37/4/005

published as J.Phys.A37:1159-1179,2004 · 24 pages, 5 figures, typos corrected

arxiv created 2003/10/14 · openalex publication_date 2004/01/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We report progress in constructing Boltzmann weights for integrable three-dimensional lattice spin models. We show that a large class of vertex solutions to the modified tetrahedron equation (MTE) can be conveniently parametrized in terms of Nth roots of

Citations

• Spectral curves and parameterizations of a discrete integrable 3-dimensional model

Cited by

• Zamolodchikov's tetrahedron equation and hidden structure of quantum groups