Three-Dimensional Integrable Models and Associated Tangle Invariants
High Energy Physics - Lattice
2009-10-22 v1
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.
Keywords
Cite
@article{arxiv.hep-lat/9405009,
title = {Three-Dimensional Integrable Models and Associated Tangle Invariants},
author = {B. L. Cerchiai and M. Martellini and F. Valz-Gris},
journal= {arXiv preprint arXiv:hep-lat/9405009},
year = {2009}
}
Comments
Number of pages: 21, Latex file