Sommaire:

Correlation functions of local gauge-invariant operators are natural observables in any conformal quantum field theory. In N=4 SYM a particular role is played by the multipoint supercorrelators of the stress-tensor multiplet. Their chiral truncation in the light-cone limit coincides with the scattering superamplitudes. We propose a novel approach to calculating such correlators based on reformulation of the theory in Lorentz harmonic chiral superspace which introduces an infinite number of auxiliary higher-spin fields and pure gauges. This technique enables us to obtain the integrands of all such supercorrelators, including the non-chiral sector, at any loop order.

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