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

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

2000-02-25

arxiv.org/abs/nlin/0002050v1

Nucl. Phys. B 583 (2000) 721-738

Nonlinear Sciences

Exactly Solvable and Integrable Systems

latex, 20 pages

Scientific paper

10.1016/S0550-3213(00)00259-5

We investigate various aspects of the integrability of the vertex models associated to the $D_n^2$ 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 $D_2^2$ spin chains and we identify the boundary having quantum group invariance. We also discuss a new $D_2^2$ $R$-matrix.

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