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 | |
| Publication status | Published - Dec 1998 |
| Externally published | Yes |