Algebraic Bethe Ansatz For The Osp(1|2) Model

The R matrix with Lie superalgebra O.sp(1I2) symmetry is constructed from the universal envaloping algebra of Osp(1/2)model Kulish and has the properties of unitarity and cross-unitarity. By using the grdaed reflection equations, we have proven the integrability of Osp(1/2)model with open boundary conditions. In the framework of the graded quantum inverse scattering method. ~ve obtain the eigenvalues and eigenvectors of the supersymmetric Osp(1/2)model under periodic and reflecting boundary conditions in FBF background. The corresponding Bethe ansatz equations are obtained. This paper gives an simple introduction to the analytic graded quantum inverse scattering method for the supersvmmetric system with open boundary.