Supersymmetric Extension of the Reflection Equation Algebra and Integrable Boundary Conditions in Doped Spin-1 Model

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  • Ge Xiang-Yu
    Information School, Zhongnan University of Economics and Law Department of Physics, Graduate School of Science, University of Tokyo
  • Wadati Miki
    Department of Physics, Graduate School of Science, University of Tokyo

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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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