ISSN:
1572-9613
Keywords:
Three-dimensional solvable models
;
tetrahedron equation
;
Baxter-Bazhanov models
;
generalized chiral Potts models
;
Yang-Baxter equation
;
braid group representations
;
Alexander knot invariants
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract First we briefly recall the definition of the three-dimensional Baxter-Bazhanov lattice model. The spins of this model are elements ofZ N and theR-matrix is associated to the algebraU q sl(n) ifq is a primitiveNth root of unity. Then we construct a particularN→∞ limit of the model, in which it is meaningful to interpret the spins as elements ofR and which gives the free Gaussian boson model. Finally, we study special limits of the rapidity variables in which we obtain braid group representations and we show that forn odd the associated knot invariants are given by the inverse of products of Alexander polynomials, evaluated at certain roots of unity.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02179250
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