English

Modified Tetrahedron Equations and Related 3D Integrable Models

High Energy Physics - Theory 2019-08-15 v1

Abstract

Using a modified version of the tetrahedron equations we construct a new family of NN-state three-dimensional integrable models with commuting two-layer transfer-matrices. We investigate a particular class of solutions to these equations and parameterize them in terms of elliptic functions. The corresponding models contain one free parameter kk -- an elliptic modulus.

Keywords

Cite

@article{arxiv.hep-th/9407146,
  title  = {Modified Tetrahedron Equations and Related 3D Integrable Models},
  author = {H. E. Boos and V. V. Mangazeev and S. M. Sergeev},
  journal= {arXiv preprint arXiv:hep-th/9407146},
  year   = {2019}
}

Comments

26 pages, LaTeX file

R2 v1 2026-07-22T15:50:53.100Z