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In a recent paper $[14]$ we have shown that the noncommutative
SUSY algebra earlierly proposed in $[13]$ has a natural
interpretation and generalization in terms of a $U(1)$ super gauge
symmetry, and hence, it must be naturally realized by
supersymmetric gauge theories on superspace. Here we further
elaborate on this idea by considering a specific example of such
models the $U(1)$ gauged supersymmetric sigma model with a
superpotential term in $D=2$,$\emph{N}=1$ superspace and
investigate the conditions under which the classical dynamics
allows for the realization of a central charge in its associated
generalized superalgebra. This realization accounts for an elegant
interpretation of the central charge as a $U(1)$) charge for the
elementary excitations as well as for the solitonic (BPS)
solutions of the model under consideration.
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