SU(2|1) chiral superfields and spinning models

We consider the coupling of dynamical and semi-dynamical (spin) multiplets described by superfields living on the generalized SU(2|1), d=1 chiral superspace. The interaction term of both multiplets is constructed as a superpotential term, where the dynamical multiplet is defined as a chiral multiplet $\textbf{(2,4,2)}$, while the semi-dynamical multiplet is associated with a mirror multiplet $\textbf{(4,4,0)}$.