- We construct a twistor space action for ≤ 4 super Yang-Mills theory and show that it is equivalent to its four dimensional spacetime counterpart at the level of perturbation theory. We compare our partition function to the original twistor-string proposal, showing that although our theory is closely related to string theory, it is free from conformal supergravity. We also provide twistor actions for gauge theories with <4 supersymmetry, and show how matter multiplets may be coupled to the gauge sector. © SISSA 2007.
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