Demystifying the twistor construction of composite operators in N = 4 super-Yang-Mills theory

International audienceWe explain some details of the construction of composite operators in N=4 SYMthat we have elaborated earlier in the context of Lorentz harmonic chiral (LHC)superspace. We give a step-by-step elementary derivation and show that theresult coincides with the recent hypothesis put forward in arXiv:1603.04471within the twistor approach. We provide the appropriate LHC-to-twistorsdictionary