Baxter-Bazhanov Model, Frenkel-Moore Equation and the Braid Group

Details Baxter-Bazhanov Model, Frenkel-Moore Equation and the Braid Group Baxter-Bazhanov Model, Frenkel-Moore Equation and the Braid Group

1994-08-25

arxiv.org/abs/hep-th/9408138v2

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, latex, 5 pasted figures (Page 13, 14)

Scientific paper

In this paper the three-dimensional vertex model is given, which is the duality of the three-dimensional Baxter-Bazhanov (BB) model. The braid group corresponding to Frenkel-Moore equation is constructed and the transformations $R, I$ are found. These maps act on the group and denote the rotations of the braids through the angles $\pi$ about some special axes. The weight function of another three-dimensional vertex model related the 3D lattice integrable model proposed by Boos, Mangazeev, Sergeev and Stroganov is presented also, which can be interpreted as the deformation of the vertex model corresponding to the BB model.

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