Bethe Vectors for Composite Models with $\mathfrak{g}\mathfrak{l}(2\mathrm{\mid }1)$ and $\mathfrak{g}\mathfrak{l}(1\mathrm{\mid }2)$ Supersymmetry

Supersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on Bethe vectors, formulas for Bethe vectors in the composite models with supersymmetry based on the super-Yangians $Y[\mathfrak{g}\mathfrak{l}(2\mathrm{\mid }1)]$ and $Y[\mathfrak{g}\mathfrak{l}(1\mathrm{\mid }2)]$ are derived.