But twistor space is chiral (handed) with left- and right-handed objects treated differently.
In 2003, he produced a paper showing how string theory may be introduced into twistor space to provide a full physical model incorporating both left- and right-handed fields together with their full interactions.
Witten showed that they have a remarkably simple structure in twistor space; in particular amplitudes are supported on algebraic curves.
This has allowed both better understanding of experimental observations in particle colliders and deep insights into the natures of different quantum field theories.
Such topics include Grassmannian residue formulae, the amplituhedron and holomorphic linking.