Tetrahedron equation and the algebraic geometry

I. G. Korepanov

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arXiv · hep-th/9401076

Tetrahedron equation and the algebraic geometry

I. G. Korepanov

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Abstract

The tetrahedron equation arises as a generalization of the famous Yang--Baxter equation to the 2+1-dimensional quantum field theory and the 3-dimensional statistical mechanics. Very little is still known about its solutions. Here a systematic method is described that does produce non-trivial solutions to the tetrahedron equation with spin-like variables on the links. The essence of the method is the use of the so-called tetrahedral Zamolodchikov algebras.

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I. G. Korepanov. 1994-01-17. Tetrahedron equation and the algebraic geometry. https://arxiv.org/abs/hep-th/9401076

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