THE FREE–FERMION MODEL IN PRESENSE OF FIELD RELATED TO THE QUANTUM GROUP
OF AFFINE TYPE AND THE MULTI–VARIABLE ALEXANDER POLYNOMIAL OF LINKS
Abstract
The free–fermion model in presense of fields discussed by Felderhof is reformulated as a solution of the Yang–Baxter equation associated with a family of 2–dimensional vector spaces. The trigonometric limit of this solution is equal to the Yang–Baxterization of the state model related to the multi–variable Alexander polynomial of links. This trigonometric limit is also equal to the R–matrix with respect to a family of representations of at
of affine type.
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