Twistor-like transform in ten dimensions (Q1085827)

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.