scholarly journals GENERALIZED YANG-BAXTER EQUATION

1993 ◽  
Vol 08 (24) ◽  
pp. 2299-2309 ◽  
Author(s):  
R. M. KASHAEV ◽  
YU. G. STROGANOV
Keyword(s):  
Single Layer ◽  
Lattice Models ◽  
Baxter Equation ◽  
Explicit Solutions ◽  
Generalized Equations ◽  
Two Dimensional ◽  
Layer Transfer ◽  
Transfer Matrices ◽  
Dimensional Lattice ◽  
Potts Models

A generalization of the Yang-Baxter equation is proposed. It enables us to construct integrable two-dimensional lattice models with commuting two-layer transfer matrices, while single-layer ones are not necessarily commutative. Explicit solutions to the generalized equations are found. They are related with Boltzmann weights of the sl (3) chiral Potts models.

scholarly journals ELLIPTIC SOLUTION FOR MODIFIED TETRAHEDRON EQUATIONS

1993 ◽  
Vol 08 (36) ◽  
pp. 3475-3482 ◽  
Author(s):  
V. V. MANGAZEEV ◽  
YU. G. STROGANOV
Keyword(s):  
Three Dimensional ◽  
Lattice Models ◽  
Elliptic Functions ◽  
Layer Transfer ◽  
Transfer Matrices ◽  
Elliptic Solution ◽  
Static Limit ◽  
Dimensional Lattice

As is known, tetrahedron equations lead to the commuting family of transfer-matrices and provide the integrability of the corresponding three-dimensional lattice models. We present the modified version of these equations which give the commuting family of more complicated two-layer transfer-matrices. In the static limit we have succeeded in constructing the solution of these equations in terms of elliptic functions.

scholarly journals Patterns Generation and Spatial Entropy in Two-dimensional Lattice Models

2007 ◽  
Vol 11 (3) ◽  
pp. 497-534 ◽  
Author(s):  
Jung-Chao Ban ◽  
Song-Sun Lin ◽  
Yin-Heng Lin
Keyword(s):  
Lattice Models ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
Spatial Entropy
Sign in / Sign up

Export Citation Format

Share Document