The super-correlator/super-amplitude duality: Part I

International audienceWe extend the recently discovered duality between MHV amplitudes and thelight-cone limit of correlation functions of a particular type of local scalaroperators to generic non-MHV amplitudes in planar N=4 SYM theory. We considerthe natural generalization of the bosonic correlators to super-correlators ofstress-tensor multiplets and show, in a number of examples, that theirlight-cone limit exactly reproduces the square of the matchingsuper-amplitudes. Our correlators are computed at Born level. If all of theirpoints form a light-like polygon, the correlator is dual to the tree-levelamplitude. If a subset of points are not on the polygon but are integratedover, they become Lagrangian insertions generating the loop corrections to thecorrelator. In this case the duality with amplitudes holds at the level of theintegrand. We build up the superspace formalism needed to formulate the dualityand present the explicit example of the n-point NMHV tree amplitude as the dualof the lowest nilpotent level in the correlator