Some Constant Solutions to Zamolodchikov's Tetrahedron Equations

Details Some Constant Solutions to Zamolodchikov's Tetrahedron Equations Some Constant Solutions to Zamolodchikov's Tetrahedron Equations

1992-11-03

arxiv.org/abs/hep-th/9211012v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, AMSTEX, TURKU-FL-P1

Scientific paper

10.1088/0305-4470/26/1/003

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.

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