Twistors and 2T-physics1

Two-Time physics applies broadly to the formulation of physics and correctly describes the physical world as we know it. Recently it was applied to a 2T reformulation of the d = 4 twistor superstring, which was suggested by Witten as an efficient approach for computations of physical processes in the maximally supersymmetric N = 4 Yang-Mills field theory in four dimensions. The 2T formalism provides a six dimensional view of this theory and suggests the existence of other d = 4 dual forms of the same theory. Furthermore the 2T approach led to the first formulation of a twistor superstring in d = 10 appropriate for AdS5×S backgrounds, and a twistor superstring in d = 6 related to the little understood superconformal theory in d = 6. The proper generalization of twistors to higher dimensions is an essential ingredient which is provided naturally by 2T-physics. These developments are summarized in this lecture2.