4 papers
On algebraic structures underlying the rational Kashiwara-Miwa-type models
Sergey Sergeev
The rational Kashiwara-Miwa model is an example of an Ising-type integrable model of the statistical physics, related to the six-vertex trigonometric -matrix. Two-spin edge weig…
"Pentagonal Algebra" and Four-Simplex Equation
Sergey Sergeev
Some idea, which leads to a non-trivial solution of the quantum four-simplex equation, is exposed in this paper. We call this idea "pentagonal algebra". Few examples of the realisa…
Functional Bethe Ansatz for a -Gordon model with real
Sergey Sergeev
Recently, Bazhanov and Sergeev have described an Ising-type integrable model which can be identified as a -Gordon-type model with an infinite number of states but with a rea…
On Faddeev's Equation
Sergey Sergeev
Faddeev' equations are a set-theoretical and an operator forms of the star-triangle equation. Known solutions of the quantum star-triangle equation, related to the Faddeev equation…