Functional tetrahedron equation

R. M. Kashaev, I. G. Korepanov, S. M. Sergeev

Research output: Contribution to journalArticle

28 Citations (Scopus)


We describe a method for constructing classical integrable models in a (2 + 1)-dimensional discrete space-time based on the functional tetrahedron equation, an equation that makes the symmetries of a model obvious in a local form. We construct a very general "block-matrix model," find its algebraic-geometric solutions, and study its various particular cases. We also present a remarkably simple quantization scheme for one of those cases.

Original languageEnglish
Pages (from-to)1402-1413
Number of pages12
JournalTheoretical and Mathematical Physics
Issue number3
Publication statusPublished - Dec 1998
Externally publishedYes

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    Kashaev, R. M., Korepanov, I. G., & Sergeev, S. M. (1998). Functional tetrahedron equation. Theoretical and Mathematical Physics, 117(3), 1402-1413.