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

Physics – Condensed Matter

Scientific paper

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Latex, 30 pages, no figure. to appear in Nucl.Phys.B(FS)

Scientific paper

We use the algebraic nested Bethe ansatz to solve the eigenvalue and
eigenvector problem of the supersymmetric $SU_q(n|m)$ 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 $SU_q(n|m)$ invariant.

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