SU$(2|1)$ supersymmetric spinning models of chiral superfields

Abstract

We construct SU$(2|1)$, $d=1$ supersymmetric models based on the coupling of dynamical and semi-dynamical (spin) multiplets, where the interaction term of both multiplets is defined on the generalized chiral superspace. The dynamical multiplet is defined as a chiral multiplet $(2,4,2)$, while the semi-dynamical multiplet is associated with a multiplet $(4,4,0)$ of the mirror type.

1+15 pages; v3: typos corrected, references updated, substantial changes in Section 2, new paragraph after eq. (3.16)

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