Certain scattering amplitudes in N=4 D=4 super Yang-Mills theory and neighbouring gauge theories – called *maximally helicity violating amplitudes* (“MHV amplitudes”) simplify drastically as compared to the generic situation and in fact are controled by a certain twistor string theory whose target space is a twistor space. See (Monteiro) for a review.

- Gustavo Machado Monteiro,
*MHV tree amplitudes in Super-Yang-Mills and in Superstring Theory*(2010) (pdf) - Edward Witten,
*Perturbative gauge theory as a string theory in twistor space*, Commun. Math. Phys. 252:189-258, 2004, arXiv:hep-th/0312171

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