Algebraic Bethe ansatz for an integrable U_q[Sl(n|m)] vertex model with mixed representations

Details Algebraic Bethe ansatz for an integrable U_q[Sl(n|m)] vertex model with mixed representations Algebraic Bethe ansatz for an integrable U_q[Sl(n|m)] vertex model with mixed representations

2005-12-14

arxiv.org/abs/nlin/0512035v1

Nucl.Phys.B738:391-408,2006

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.1016/j.nuclphysb.2006.01.002

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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