Abstract:
We consider quantum supergroups that arise in nonanticommutative deformations
of the $N{=}(1/2,1/2)$ and $N{=}(1,1)$ four-dimensional Euclidean
supersymmetric theories. Twist operators in the corresponding superspaces and
deformed superfield algebras contain left spinor generators. We show that
nonanticommutative $\star$-products of superfields transform covariantly
under the deformed supersymmetries. This covariance guarantees the invariance
of the deformed superfield actions of models involving $\star$-products of
superfields.