Exact diagonalization of the quantum supersymmetric $S{U}_q(n|m)$ model

Abstract

We use the algebraic nested Bethe ansatz to solve the eigenvalue and eigenvector problem of the supersymmetric $S{U}_q(n|m)$ 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 $S{U}_q(n|m)$ invariant.

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

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