We present a classification of diagonal, antidiagonal and mixed reflection matrices related to Yangian and super-Yangian R matrices associated to the infinite series so(m), sp(n) and osp(m|n). We formulate the analytical Bethe Ansatz resolution for the so(m) and sp(n) open spin chains with boundary conditions described by the diagonal solutions.
- 81R50; 17B37
Arnaudon, D., Avan, J., Crampé, N., Doikou, A., Frappat, L., & Ragoucy, E. (2003). Classification of reflection matrices related to (super-) Yangians and application to open spin chain models. Nuclear Physics B, 668(3), 469–505. https://doi.org/10.1016/S0550-3213(03)00503-0