Algebraic Bethe ansatz for an integrable U_q[Sl(n|m)] vertex model with mixed representations
Exactly Solvable and Integrable Systems
2008-11-26 v1
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.
Keywords
Cite
@article{arxiv.nlin/0512035,
title = {Algebraic Bethe ansatz for an integrable U_q[Sl(n|m)] vertex model with mixed representations},
author = {G. A. P. Ribeiro and M. J. Martins},
journal= {arXiv preprint arXiv:nlin/0512035},
year = {2008}
}