Superconformal invariants for scattering amplitudes in N=4 SYM theory

Understand

Recent studies of scattering amplitudes in planar N=4 SYM theory revealed the existence of a hidden dual superconformal symmetry.

• Together with the conventional superconformal symmetry it gives rise to powerful restrictions on the planar scattering amplitudes to all loops.
• We study the general form of the invariants of both symmetries.
• We first construct an integral representation for the most general dual superconformal invariants and show that it allows a considerable freedom in the choice of the integration measure.