SU(2|1) chiral superfields and spinning models

Abstract

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 ( 2 , 4 , 2 ) , while the semi-dynamical multiplet is associated with a mirror multiplet ( 4 , 4 , 0 )