Drinfeld realizations and vertex operator representations of quantum affine superalgebras

In this paper, we report three classes of results on the quantum affine superalgebras associated with the series of affine superalgebras [Formula: see text], [Formula: see text] and [Formula: see text], namely, their Drinfeld realizations, vertex operator representations, and the classification of their finite-dimensional irreducible representations. The Drinfeld realizations constructed here play an essential role in developing the two types of representations.