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We discuss the structure of the non-anticommutative N=2 non-linearsigma-model in two dimensions, constructing differential operators whichimplement the deformed supersymmetry generators and using them to reproduce theclassical action. We then compute the one-loop quantum corrections and expressthem in a more compact form using the differential operators.

One-loop divergences in the two-dimensional non-anticommutative supersymmetric sigma-model