Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetric Model Associated with U _{ q }(gl(mn))
Abstract
We construct the Drinfeld twists (or factorizing Fmatrices) of the supersymmetric model associated with quantum superalgebra U_{q}(gl(mn)), and obtain the completely symmetric representations of the creation operators of the model in the Fbasis provided by the Fmatrix. As an application of our general results, we present the explicit expressions of the Bethe vectors in the Fbasis for the U_{q}(gl(21))model (the quantum tJ model).
 Publication:

Communications in Mathematical Physics
 Pub Date:
 May 2006
 DOI:
 10.1007/s0022000515134
 arXiv:
 arXiv:hepth/0503003
 Bibcode:
 2006CMaPh.264...87Y
 Keywords:

 Neural Network;
 Statistical Physic;
 Complex System;
 Nonlinear Dynamics;
 General Result;
 High Energy Physics  Theory;
 Condensed Matter  Strongly Correlated Electrons;
 Mathematical Physics;
 Mathematics  Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 Latex file, 33 pages