Row Transfer Matrix Functional Relations For Baxter S Eight Vertex And Six Vertex Models With Open Boundaries Via More General Reflection Matrices

Mathematics Research Report MRR95-065

Row Transfer Matrix Functional Relations For Baxter S Eight Vertex And Six Vertex Models With Open Boundaries Via More General Reflection Matrices

Yu-kui Zhou

Abstract: The functional relations of the transfer matrices of fusion hierachies for six- and eight-vertex models with open boundary conditions have been presented in this paper. We have shown the su(2) fusion rule for the models with more general reflection boundary conditions, which are represented by off-diagonal reflection matrices. Also we have discussed some physics properties which are determined by the functional relations. Finally the intertwining relation between the reflection K matrices for the vertex and SOS models is discussed.

This service is maintained by the Mathematical Sciences Institute (MSI)
Comments to webmaster@maths.anu.edu.au URL: http://wwwmaths.anu.edu.au/