Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetric t-J Model

Wen-Li Yang; Yao-Zhong Zhang; Shao-You Zhao

doi:10.1088/1126-6708/2004/12/038

paper

Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetric t-J Model

arXiv:cond-mat/0412182 · doi:10.1088/1126-6708/2004/12/038

Abstract

We construct the Drinfeld twists (factorizing $F$ -matrices) for the supersymmetric t-J model. Working in the basis provided by the $F$ -matrix (i.e. the so-called $F$ -basis), we obtain completely symmetric representations of the monodromy matrix and the pseudo-particle creation operators of the model. These enable us to resolve the hierarchy of the nested Bethe vectors for the $g l (2∣1)$ invariant t-J model.

23 pages, no figure, Latex file, minor misprints are corrected