Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in N=4 SYM

Understand

We present a construction of the integrand of the correlation function of four stress-tensor multiplets in N=4 SYM at weak coupling.

• It does not rely on Feynman diagrams and makes use of the recently discovered symmetry of the integrand under permutations of external and integration points.
• This symmetry holds for any gauge group, so it can be used to predict the integrand both in the planar and non-planar sectors.
• We demonstrate the great efficiency of graph-theoretical tools in the systematic study of the possible permutation symmetric integrands.