Three-Dimensional Integrable Models and Associated Tangle Invariants

Details Three-Dimensional Integrable Models and Associated Tangle Invariants Three-Dimensional Integrable Models and Associated Tangle Invariants

1994-05-10

arxiv.org/abs/hep-lat/9405009v1

J.Statist.Phys. 78 (1995) 1083-1109

Physics

High Energy Physics

High Energy Physics - Lattice

Number of pages: 21, Latex file

Scientific paper

10.1007/BF02183703

In this paper we show that the Boltzmann weights of the three-dimensional Baxter-Bazhanov model give representations of the braid group, if some suitable spectral limits are taken. In the trigonometric case we classify all possible spectral limits which produce braid group representations. Furthermore we prove that for some of them we get cyclotomic invariants of links and for others we obtain tangle invariants generalizing the cyclotomic ones.

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