Функциональное уравнение тетраэдров

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

doi:10.4213/tmf939

Функциональное уравнение тетраэдров

Translated title of the contribution: Functional tetrahedron equation

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

Research output: Contribution to journal › Article › peer-review

56 Citations (Scopus)

Abstract

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.

Translated title of the contribution	Functional tetrahedron equation
Original language	Russian
Pages (from-to)	1402-1413
Number of pages	12
Journal	Theoretical and Mathematical Physics
Volume	117
Issue number	3
DOIs	https://doi.org/10.4213/tmf939
Publication status	Published - Dec 1998
Externally published	Yes

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10.4213/tmf939

https://arxiv.org/pdf/solv-int/9801015.pdf

Cite this

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AB - 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.

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Функциональное уравнение тетраэдров

Abstract

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