Integrability of the D2n vertex models with open boundary Original Research Article

We investigate various aspects of the integrability of the vertex models associated to the Dn2 affine Lie algebra with open boundaries. We first study the solutions of the corresponding reflection equation compatible with the minimal symmetry of this system. We find three classes of general solutions, one diagonal solution and two non-diagonal families with a free parameter. Next we perform the Bethe ansatz analysis for some of the associated open D22 spin chains and we identify the boundary having quantum group invariance. We also discuss a new D22 R-matrix.