TWISTOR REPRESENTATION OF YANG-MILLS FIELDS ON MINKOWSKI SPACE

A correspondence between (not necessarily self-dual nor anti-self-dual) Yang-Mills fields on Minkowski space, and pairs of cohomology classes gamma, phi, on null twistor space PN-AND is established; gamma-epsilon-H1CR (PN-AND, g) defines a deformed Cauchy-Riemman (C-R) (gamma) structure on a principal bundle over PN, and phi-epsilon-H1CR(gamma) (PN-AND,O( - 4) (x) g). The correspondence depends on the choice of a spacelike hyperplane in Minkowski space. Here, gamma and phi provide initial values in the spin bundle over this hyperplane for a system of evolution equations, along the null geodesic spray congruence in the spin bundle over Minkowski space.