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Tetrahedron equation and the algebraic geometry | I. G. Korepanov
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17 Dec 1993 | Journal: | Zapiski Nauchn. Semin. POMI (S-Petersburg) 209 (1994) 137-149 | Subject: | High Energy Physics - Theory; Algebraic Geometry | hep-th gr-qc math.AG | 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. | Source: | arXiv, hep-th/9401076 | Services: | Forum | Review | PDF | Favorites |
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