New solvable lattice models from conformal field theory

In this work we build the trigonometric solutions of the Yang-Baxter equation that can not be obtained from quantum groups in any direct way. The solution is obtained using the construction suggested recently [D. Gepner, Caltech preprint CALT-68-1825, hep-th/9211100] from the rational conformal field theory corresponding to the WZW model on SO(3)4R = SU(2)4RZ2. We also discuss the full elliptic solution to the Yang-Baxter equation whose critical limit corresponds to the trigonometric solution found below.