The S-Matrix in Twistor Space

Understand

The simplicity and hidden symmetries of (Super) Yang-Mills and (Super)Gravity scattering amplitudes suggest the existence of a "weak-weak" dual formulation in which these structures are made manifest at the expense of manifest locality.

• We suggest that this dual description lives in (2,2) signature and is naturally formulated in twistor space.
• We recast the BCFW recursion relations in an on-shell form that begs to be transformed into twistor space.
• Our twistor transformation is inspired by Witten's, but differs in treating twistor and dual twistor variables more equally.