On the parametrization of solutions of the YangBaxter equations
Abstract
We study all five, six, and one eightvertex type twostate solutions of the YangBaxter equations in the form $A_{12} B_{13} C_{23} = C_{23} B_{13} A_{12}$, and analyze the interplay of the `gauge' and `inversion' symmetries of these solution. Starting with algebraic solutions, whose parameters have no specific interpretation, and then using these symmetries we can construct a parametrization where we can identify global, color and spectral parameters. We show in particular how the distribution of these parameters may be changed by a change of gauge.
 Publication:

eprint arXiv:qalg/950402
 Pub Date:
 April 1995
 arXiv:
 arXiv:qalg/9504028
 Bibcode:
 1995q.alg.....4028H
 Keywords:

 Mathematics  Quantum Algebra;
 High Energy Physics  Theory
 EPrint:
 19 pages in LaTeX