Drinfeld twists and algebraic Bethe ansatz of the supersymmetric model associated with $U_q(gl(m\mathrm{\mid }n))$

We construct the Drinfeld twists (or factorizing $F$-matrices) of the supersymmetric model associated with quantum superalgebra $U_q(gl(m\mathrm{\mid }n))$, and obtain the completely symmetric representations of the creation operators of the model in the $F$-basis provided by the $F$-matrix. As an application of our general results, we present the explicit expressions of the Bethe vectors in the $F$-basis for the $U_q(gl(2\mathrm{\mid }1))$-model (the quantum t-J model).