N=2 superfields and the M-fivebrane

In this paper we provide a manifestly N=2 supersymmetric formulation of the M-fivebrane in the presence of threebrane solitons. The superspace form of four-dimensional effective equations for the threebranes are readily obtained and yield the complete Seiberg-Witten equations of motion for N=2 super-Yang-Mills. A particularly simple derivation is given by introducing an N=2 superfield generalisation of the Seiberg-Witten differential.