Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries

The nested off-diagonal Bethe ansatz method is proposed to diagonalize multicomponent integrable models with generic integrable boundaries. As an example, the exact solutions of the su (n)- invariant spin chain model with both periodic and non-diagonal boundaries are derived by constructing the nested T - Q relations based on the operator product identities among the fused transfer matrices and the asymptotic behavior of the transfer matrices.