A SUPER ZERO-REST-MASS-EQUATION

Abstract

Various authors have considered the Zero-rest-mass equation and the contour integral representation of its solutions. Ferber generalized these equations to supertwistor spaces with 2N odd components so that with N=O we get the standard ungraded twistors of Penrose. In this paper we use the Batchelor theorem toconstruct the natural super Twistor space with coarse topology with underlying standard twistors. We also introduce a Super zero rest-mass equation (S. Z. R. M) which satifies the standard non- graded Z. R. M. equation when an augmentation map &is applied. It has been shown that the contour integral defined by Rogers can be used to represent a solution for these equations and these solutionsreduce to standard solutions when one applies the ?-map