19 citations · 77 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
Modified Tetrahedron Equations and Related 3D Integrable Models
H. E. Boos, V. V. Mangazeev, S. M. Sergeev
Using a modified version of the tetrahedron equations we construct a new family of -state three-dimensional integrable models with commuting two-layer transfer-matrices. We inve…
New series of 3D lattice integrable models
V. V. Mangazeev, S. M. Sergeev, Yu. G. Stroganov
In this paper we present a new series of 3-dimensional integrable lattice models with colors. The case generalizes the elliptic model of our previous paper. The weight fu…
Elliptic solution for modified tetrahedron equations
V. V. Mangazeev, Yu. G. Stroganov
As is known, tetrahedron equations lead to the commuting family of transfer-matrices and provide the integrability of corresponding three-dimensional lattice models. We present the…