Quantum Corrections in 2D SUSY CP^{N-1} Sigma Model on Noncommutative   Superspace
  We investigate quantum corrections in two-dimensional CP^{N-1} supersymmetric nonlinear sigma model on noncommutative superspace. We show that this model is renormalizable, the N=2 SUSY sector is not affected by the C-deformation and that the non(anti)commutativity parameter C receives infinite renormalization at one-loop order. And it is the renormalizability of the model at one-loop order. 
Kazutoshi Araki, Takeo Inami, Hiroaki Nakajima and Yorinori Saito