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

G. A. P. Ribeiro; M. J. Martins

doi:10.1016/j.nuclphysb.2006.01.002

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arXiv · nlin/0512035

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

G. A. P. Ribeiro·M. J. Martins

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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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G. A. P. Ribeiro, M. J. Martins. 2005-12-14. Algebraic Bethe ansatz for an integrable U_q[Sl(n|m)] vertex model with mixed representations. https://doi.org/10.1016/j.nuclphysb.2006.01.002

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