Abstract
We diagonalize the transfer matrix of a solvable vertex model constructed by combining the vector representation of U q [ Sl ( n | m ) ] and its dual by means of the quantum inverse scattering framework. The algebraic Bethe ansatz solution consider all ( n + m ) ! n ! m ! possibilities of choosing the grading for arbitrary values of n and m. This allows us to derive the transfer matrix eigenvalues and the respective Bethe ansatz equations for general grading choices.
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