English

Some Constant Solutions to Zamolodchikov's Tetrahedron Equations

High Energy Physics - Theory 2009-10-22 v1

Abstract

In this letter we present constant solutions to the tetrahedron equations proposed by Zamolodchikov. In general, from a given solution of the Yang-Baxter equation there are two ways to construct solutions to the tetrahedron equation. There are also other kinds of solutions. We present some two-dimensional solutions that were obtained by directly solving the equations using either an upper triangular or Zamolodchikov's ansatz.

Keywords

Cite

@article{arxiv.hep-th/9211012,
  title  = {Some Constant Solutions to Zamolodchikov's Tetrahedron Equations},
  author = {J. Hietarinta},
  journal= {arXiv preprint arXiv:hep-th/9211012},
  year   = {2009}
}

Comments

7 pages, AMSTEX, TURKU-FL-P1