2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/186285The multiple reference state structure of the $\Z_n$ Belavin model with non-diagonal boundary terms is discovered. It is found that there exist $n$ reference states, each of them yields a set of eigenvalues and Bethe Ansatz equations of the transfer matrix. These $n$ sets of eigenvalues together constitute the complete spectrum of the model. In the quasi-classic limit, they give the complete spectrum of the corresponding Gaudin model.Latex file, 24 pagesHigh Energy Physics - TheoryMathematical PhysicsExactly Solvable and Integrable Systemstext