English

Integrability of the $D_n^2$ vertex models with open boundary

Exactly Solvable and Integrable Systems 2009-10-31 v1

Abstract

We investigate various aspects of the integrability of the vertex models associated to the Dn2D_n^2 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 D22D_2^2 spin chains and we identify the boundary having quantum group invariance. We also discuss a new D22D_2^2 RR-matrix.

Keywords

Cite

@article{arxiv.nlin/0002050,
  title  = {Integrability of the $D_n^2$ vertex models with open boundary},
  author = {M. J. Martins and X. W. Guan},
  journal= {arXiv preprint arXiv:nlin/0002050},
  year   = {2009}
}

Comments

latex, 20 pages