The algebraic Bethe ansatz for open A2n(2) vertex model

Abstract

We solve the A2n(2) vertex model with all kinds of diagonal reflecting matrices by using the algebraic Behe ansatz, which includes constructing the multi-particle states and achieving the eigenvalue of the transfer matrix and corresponding Bethe ansatz equations. When the model is Uq(Bn) quantum invariant, our conclusion agrees with that obtained by analytic Bethe ansatz method.

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