The Classification of Certain Four-Weight Spin Models |
| |
Authors: | E Bannai M Sawano |
| |
Institution: | Graduate School of Mathematics, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka 812-8581, Japan, e-mail: etsuko@math.kyushu-u.ac.jp, JP
|
| |
Abstract: | In this paper we show that if one of the matrices {Wi, 1 h i h 4} of a four-weight spin model (X, W1, W2, W3, W4; D) is equivalent to the matrix of a Potts model or a cyclic model as type II matrix and |X| S 5, then the spin model is gauge equivalent to a Potts model or a cyclic model up to simultaneous permutations on rows and columns. Using this fact and Nomura's result 12] we show that every four-weight spin model of size |X| = 5 is gauge equivalent to either a Potts model or a cyclic model up to simultaneous permutations on rows and columns. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|