96 citations · 820 across the 46 of their papers we have counts for
47 papers
On Pentagon Equation, Tetrahedron Equation, Evolution and Integrals of Motion
Sergey Sergeev
There is a sub-class of the solutions to Quantum Tetrahedron Equation related to the algebraical Pentagon Equation. The Quantum Tetrahedron Equation defines an evolution operator i…
Bethe Ansatz and Rogers-Ramanujan-type identities
Sergey Sergeev
The Rogers-Ramanujan identity for can b…
On difference equations with `'-type solitons on three dimensional lattice
Sergey Sergeev
In this paper we discuss an example of classical integrable equation with rather unusual `B'-type Kadomtsev-Petviashvili (KP) soliton hierarchy.
Spectral equations and ground state for the modular -Gordon model
Sergey Sergeev
We study the modular pair of equations for the quantum -Gordon model in the framework of non-compact . We assume some conjectures fo…
Elliptic Sklyanin Algebra, Baxter Equation and Discrete Liouville Equation
Sergey Sergeev
In this paper we discuss some properties of Baxter's TQ equation for the eight-vertex elliptic Sklyanin algebra it its compact representation based on the elliptic Gamma-functions.…
An Ising-type formulation of the six-vertex model
Vladimir V. Bazhanov, Sergey M. Sergeev
We show that the celebrated six-vertex model of statistical mechanics (along with its multistate generalizations) can be reformulated as an Ising-type model with only a two-spin in…