Functional tetrahedron equation
Copyright policy )Functional tetrahedron equation
We describe a scheme of constructing classical integrable models in 2+1-dimensional discrete space-time, based on the functional tetrahedron equation - equation that makes manifest the symmetries of a model in local form. We construct a very general "block-matrix model" together with its algebro-geometric solutions, study its various particular cases, and also present a remarkably simple scheme of quantization for one of those cases.
LaTeX, 16 pages
- South Ural State University Russian Federation
- Russian Academy of Sciences Russian Federation
block-matrix model, integrable models, functional tetrahedron equation, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, electric devices, quantization, Exactly Solvable and Integrable Systems (nlin.SI), Exactly solvable models; Bethe ansatz, Quantum groups and related algebraic methods applied to problems in quantum theory
block-matrix model, integrable models, functional tetrahedron equation, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, electric devices, quantization, Exactly Solvable and Integrable Systems (nlin.SI), Exactly solvable models; Bethe ansatz, Quantum groups and related algebraic methods applied to problems in quantum theory
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