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We consider a Galilean N = 2 supersymmetric theory with F-term couplings in 2 + 1 dimensions, obtained by null reduction of a relativistic Wess-Zumino model. We compute quantum corrections and we check that, as for the relativistic parent theory, the F-term does not receive quantum corrections. Even more, we find evidence that the causal structure of the non-relativistic dynamics together with particle number conservation constrain the theory to be one-loop exact. Here P j are the spatialdoi:10.1007/jhep06(2019)048 fatcat:gadkxcbzejbn5itlo6r6pj6t7y