On the holomorphic structure of a low energy supersymmetric Wilson effective action

The Wilson (exact) renormalization group equations are used to determine the evolution of a general low energy N = 1 supersymmetric action containing a U(1) gauge vector multiplet and a neutral chiral multiplet. The effective theory evolves towards satisfying a fixed relation where the Kähler potential and effective gauge coupling are obtained from a N = 2 supersymmetric holomorphic prepotential.