Abstract
New integrable B2 model with off-diagonal boundary reflections is proposed. The general solutions of the reflection matrix for the B2 model are obtained by using the fusion technique. We find that the reflection matrix has 7 free boundary parameters, which are used to describe the degree of freedom of boundary couplings, without breaking the integrability of the system. The new quantization conditions will induce the novel structure of the energy spectrum and the boundary states. The corresponding boundary effects can be studied based on the results in this paper. Meanwhile, the reflection matrix of high rank models associated with Bn algebra can also be obtained by using the method suggested in this paper.
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