Functional tetrahedron equation |
| |
| Authors: | R M Kashaev I G Korepanov S M Sergeev |
| |
| Institution: | (1) St. Petersburg Branch, steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, 191011 St. Petersburg, Russia;(2) South Ural State University, Ave. Lenin, 76, 454080 Chelyabinsk, Russia;(3) Branch Institute for Nuclear Physics, 142284 Protvino, Russia |
| |
| Abstract: | We describe a method for constructing classical integrable models in a (2+1)-dimensional discrete spacetime 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 from Teoreticheskaya i Matematicheskaya Fizika, Vol. 117, No. 3, pp. 370–384, December, 1998. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
