Abstract (Elsevier)
A twistor-like transform of ten-dimensional supersymmetric Yang-Mills theory is described. It generalizes previous work on N = 4 supersymmetric Yang-Mills theory in four dimensions. Partial results are obtained concerning a twistorial transform of N = 1 supergravity in ten dimensions. The motivation for this work is the possibility that the twistor transform of ten-dimensional supersymmetric field theory is the proper starting point for understanding the geometrical meaning of superstring theory. Developing the twistor transform requires developing the needed tools for coupling a superstring to a background supergravity field; this coupling is described in the last section.