Drinfeld realization of the centrally extended psl(2|2) Yangian algebra with the manifest coproducts

The Lie superalgebra psl(2|2) is recognized as a quite special algebra. In mathematics, it has the vanishing Killing form and allows for three-dimensional central extension. physics, shows up symmetry of one-dimensional Hubbard model asymptotic S-matrix anti-de Sitter/conformal field theory (AdS/CFT) correspondence. this paper, we present Drinfeld realization Yangian algebra associated with centrally extended psl(2|2). Furthermore, show that possesses Hopf structures, particularly coproducts. idea to prove existence manifest coproducts follows. First, shall introduce them Levendorskii’s realization, system finite truncation generators. Second, isomorphic by induction.