Multiparameter statistical models from N^2\times N^2 braid matrices: Explicit eigenvalues of transfer matrices {\bf T}^{(r)}, spin chains, factorizable scatterings for all N

For a class of multiparameter statistical models based on N^2\times N^2 braid matrices the eigenvalues of the transfer matrix {\bf T}^{(r)} are obtained explicitly for all (r,N). Our formalism yields them as solutions of sets of linear equations with simple constant coefficients. The role of zero-sum multiplets constituted in terms... Show more