J. Phys. Soc. Jpn. 57 (1988) pp. 2921-2935  |Next Article|  |Table of Contents|
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Link Polynomials Constructed from Solvable Models in Statistical Mechanics

Tetsuo Deguchi, Miki Wadati and Yasuhiro Akutsu¹

(Received April 8, 1988)

A method, developed by the authors, to construct link polynomials from solvable models in statistical mechanics is applied to the IRF models which are associated to affine Lie algebras A_m-1⁽¹⁾, B_m⁽¹⁾, C_m⁽¹⁾ and D_m⁽¹⁾. Link polynomials and reduction relations for the A_m-1⁽¹⁾, B_m⁽¹⁾, C_m⁽¹⁾ and D_m⁽¹⁾ models are explicitly given. Reduction relations for the A_m-1⁽¹⁾ model and the B_m⁽¹⁾, C_m⁽¹⁾ and D_m⁽¹⁾ models are quadratic and cubic, respectively. ©1988 The Physical Society of Japan

URL: http://jpsj.ipap.jp/link?JPSJ/57/2921/
DOI: 10.1143/JPSJ.57.2921

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