Link invariants from $N$-state vertex models: an alternative construction independent of statistical models

Details Link invariants from $N$-state vertex models: an alternative construction independent of statistical models Link invariants from $N$-state vertex models: an alternative construction independent of statistical models

1996-06-13

arxiv.org/abs/q-alg/9606012v1

Nucl.Phys. B475 (1996) 691-709

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX, uses epsf.sty. To appear in Nucl. Phys. B

Scientific paper

10.1016/0550-3213(96)00319-7

We reproduce the hierarchy of link invariants associated to the series of $N$-state vertex models with a method different from the original construction due to Akutsu, Deguchi and Wadati. The alternative method substitutes the `crossing symmetry' property exhibited by the Boltzmann weights of the vertex models by a similar property which, for the purpose of constructing link invariants, encodes the same information but requires only the limit of the Boltzmann weights when the spectral parameter is sent to infinity.

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