Exact diagonalization of the quantum supersymmetric SUq(n|m) model

Abstract

We use the algebraic nested Bethe ansatz to solve the eigenvalue and eigenvector problem of the supersymmetric SUq(n|m) model with open boundary conditions. Under an additional condition that model is related to a multicomponent supersymmetric t-J model. We also prove that the transfer matrix with open boundary condition is SUq(n|m) invariant.

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