The space of super light rays for complex conformal spacetimes (Q1317918)

The present paper contributes to the twistor program: differential equations of mathematical physics, like the Yang-Mills equations or the selfduality equations, are geometrized by relating them to certain holomorphic vector bundles. Relying on results of E. Witten and C. Le Brun, the author shows, in particular, that every complex conformal four- manifold extends to a superconformal manifold. He constructs then a one- to-one correspondence between solution of the \(N=3\) supersymmetric Yang- Mills equations and super vector bundles over the so-called space of super light rays. Some technicalities are needed to arrive at the result.