  We study deformations of four-dimensional N=(1,1)Euclidean superspace induced
by non-anticommuting fermionic coordinates. We essentially use the harmonic
superspace approach and consider nilpotent bi-differential Poisson operators
only, which generalizes the recently studied chiral deformation of N=(1/2,1/2)
superspace. We present non-anticommutative Euclidean analogs of N=2 Maxwell and
hypermultiplet off-shell actions. The talk is based on the paper
hep-th/0308012.
