Dual superconformal invariance has recently emerged as a hidden symmetry of planar scattering amplitudes in N = 4 super Yang-Mills theory. This symmetry can be made manifest by expressing amplitudesâ€¦ (More)

Twistor space constructions and actions are given for full Yang-Mills and conformal gravity using complex structures that are not, in general, integrable. These are used as the basis of a derivationâ€¦ (More)

A family of new twistor string theories is constructed and shown to be free from world-sheet anomalies. The spectra in space-time are calculated and shown to give Einstein supergravities with secondâ€¦ (More)

We construct a twistor space action for N = 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 ourâ€¦ (More)

It is shown that Einsteinâ€“Weyl (EW) equations in 2+1 dimensions contain the dispersionless Kadomtsevâ€“Petviashvili (dKP) equation as a special case: If an EW structure admits a constant weightedâ€¦ (More)

The scattering equations on the Riemann sphere give rise to remarkable formulas for tree-level gauge theory and gravity amplitudes. Adamo, Casali, and Skinner conjectured a one-loop formula forâ€¦ (More)

It is shown that Einsteinâ€“Weyl (EW) equations in 2+1 dimensions contain the dispersionless Kadomtsevâ€“Petviashvili (dKP) equation as a special case: If an EW structure admits a constant weightedâ€¦ (More)

We introduce a Chern-Simons Lagrangian for Yang-Mills theory as formulated on am-bitwistor space via the Ward, Isenberg, Yasskin, Green, Witten construction. The La-grangian requires the selection ofâ€¦ (More)

We develop a global twistor correspondence for pseudo-Riemannian conformal structures of signature (++âˆ’âˆ’) with self-dual Weyl curvature. Near the conformal class of the standard indefinite productâ€¦ (More)

We give holomorphic Chern-Simons-like action functionals on su-pertwistor space for self-dual supergravities in four dimensions, with and without gauged R-symmetry or cosmological constant. The gaugeâ€¦ (More)