Exact solution of the A(1)n-1 trigonometric vertex model with non-diagonal open boundaries

Abstract

The A(1)n-1 trigonometric vertex model with generic non-diagonal boundaries is studied. The double-row transfer matrix of the model is diagonalized by algebraic Bethe ansatz method in terms of the intertwiner and the corresponding face-vertex relation. The eigenvalues and the corresponding Bethe ansatz equations are obtained.

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