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Prog. Theor. Phys. Vol. 68 No. 2 (1982) pp. 508-526

Classification of Exactly Solvable Two-Component Models

Kiyoshi Sogo, Mamoru Uchinami, Yasuhiro Akutsu and Miki Wadati

Institute of Physics, College of General Education, University of Tokyo, Komaba, Tokyo 153

(Received April 6, 1982)

Abstract:

In the case of two-component models, all possible solutions for factorization equations of S-matrix are obtained. These solutions give a classification of solvable vertex models. It is found that Yang-Baxter relation is more general than the factorization equation. The six vertex model by Yang, Yang and Sutherland is derived not from the factorization equation but from Yang-Baxter relation. Thus it is concluded that Yang-Baxter relation lies at the basis of all the known solvable two component models. Furthermore, spin Hamiltonians corresponding to our vertex models are presented in explicit forms.

URL : http://ptp.ipap.jp/link?PTP/68/508/
DOI : 10.1143/PTP.68.508

[ Full Text PDF : FREE ACCESS (668K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Journal of the Physical Society of Japan 57 (1988) pp. 1173-1185 :

   Exactly Solvable Models and New Link Polynomials. IV. IRF Models

   Yasuhiro Akutsu, Tetsuo Deguchi and Miki Wadati

2. Journal of the Physical Society of Japan 57 (1988) pp. 1905-1923 :

   Exactly Solvable Models and New Link Polynomials. V. Yang-Baxter Operator and Braid-Monoid Algebra

   Tetsuo Deguchi, Miki Wadati and Yasuhiro Akutsu

3. Journal of the Physical Society of Japan 58 (1989) pp. 3441-3444 :

   Braid Group Representations and Link Polynomials Derived from Generalized SU(n) Vertex Models

   Tetsuo Deguchi

4. Journal of the Physical Society of Japan 59 (1990) pp. 1119-1122 :

   Hybrid-Type Solvable Models and Multivariable Link Polynomials

   Tetsuo Deguchi

5. Journal of the Physical Society of Japan 60 (1991) pp. 2559-2570 :

   A General Formula for Colored Z_n GradedBraid Matrices and the Fusion Braid Matrices

   Tetsuo Deguchi and Yasuhiro Akutsu

6. Progress of Theoretical Physics Vol. 70 No. 3 (1983) pp. 730-738 :

   New Factorized S-Matrix and Its Application to Exactly Solvable q-State Model. I

   Kiyoshi Sogo, Yasuhiro Akutsu and Takayuki Abe

7. Progress of Theoretical Physics Supplement No.94 (1988) pp. 1-41 :

   From Solitons to Knots and Links

   Miki Wadati and Yasuhiro Akutsu

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