Abstract

The reflection equation algebra of Sklyanin is extended to the supersymmetric case. A graded reflection equation algebra is proposed and the corresponding graded (supersymmetric) boundary quantum inverse scattering method (QISM) is formulated. As an application, integrable open-boundary conditions for the doped spin-1 chain of the supersymmetric t – J model are studied in the framework of the boundary QISM. Diagonal boundary K -matrices are found and four classes of integrable boundary terms are determined.

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