Deformations of Euclidean supersymmetries

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.