(1) Dipartimento di Fisica, Università di Milano, 20133 Milan, Italy;(2) INFN, Sezione di Pavia, 27100 Pavia, Italy
Abstract:
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.