7 papers
Quantum Dilogarithms and New Integrable Lattice Models in Three Dimensions
Vladimir V. Bazhanov, Rinat M. Kashaev, Vladimir V. Mangazeev +1
In this paper we introduce a new class of integrable 3D lattice models, possessing continuous families of commuting layer-to-layer transfer matrices. Algebraically, this commutativ…
A distant descendant of the six-vertex model
Vladimir V. Bazhanov, Sergey M. Sergeev
In this paper we present a new solution of the star-triangle relation having positive Boltzmann weights. The solution defines an exactly solvable two-dimensional Ising-type (edge i…
On pentagon, ten-term, and tetrahedron relations
R. M. Kashaev, S. M. Sergeev
The tetrahedron equation in a special substitution is reduced to a pair of pentagon and one ten-term equations. Various examples of solutions are found. -doubles of Novikov, whi…
Quantum Dilogarithm and Tetrahedron Equation
S. M. Sergeev, V. V. Bazhanov, V. V. Mangazeev
This paper has been temporarily withdrawn for corrections.
The vertex formulation of the Bazhanov-Baxter Model
S. M. Sergeev, V. V. Mangazeev, Yu. G. Stroganov
In this paper we formulate an integrable model on the simple cubic lattice. The -- valued spin variables of the model belong to edges of the lattice. The Boltzmann weights of t…
New solution of vertex type tetrahedron equations
V. V. Mangazeev, S. M. Sergeev, Yu. G. Stroganov
In this paper we formulate a new N-state spin integrable model on a three-dimensional lattice with spins interacting round each elementary cube of the lattice. This model can be al…