ISSN:
1572-9613
Keywords:
Three-dimensional solvable models
;
Zamolodchikov model
;
Baxter-Bazhanov models
;
generalized chiral Potts models
;
Yang-Baxter equation
;
tetrahedron equation
;
braid group representation
;
Markov trace
;
cyclotomic knot invariants
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02183703
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