Twistors and the Amplitudes in the Integrable Sector of Superstring Theory

Abstract

Twistors can represent the spin in superstring theory and provide a theoretical explanation of
the two-dimensional spherical model of elementary particles together with the surface
distributions of the charges. The integrability of certain matter sectors of the strong
interactions also may be traced to the action of the conformal group on collinear trajectories
that occur in a twistor formulation. The amplitudes for these scattering processes in four
dimensions have a representation with quantum states in a nonsupersymmetric theory defined
by the low-energy limit of a solution to the N = 2 string equations with a Wick rotation of the
metric with (2, 2) signature. The twistor form of an N = 2 scattering amplitude is given.