Super twistors and super Poincare invariant actions for all linearized extended supersymmetric theories in 4 dimensions

Applying Dirac first quantization to the extended twistorial form of the Brink-Schwarz (BS) superparticle we get the linearized field equations of motion for all D=4 extended supersymmetric (SUSY) theories, in their twistorial form. This form is equivalent to the usual superfield one. As an example, we will show this equivalence for N=3 super Yang-Mills (SYM). By gauging away all Minkowski superspace-time variables we are left with a simple pure-twistor superparticle with the same physical content as the original one. We give the pure-twistor super Poincare invariant actions from which the first quantized field equations for all the linearized SUSY theories can be derived. (author)