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

TL;DR

This paper clarifies the twistor construction of composite operators in N=4 super-Yang-Mills theory, providing detailed derivations and a dictionary linking Lorentz harmonic chiral superspace to twistor space.

Contribution

It offers a detailed, step-by-step derivation of the twistor construction of composite operators in N=4 SYM, confirming recent hypotheses and establishing a dictionary between formalisms.

Findings

Derivation aligns with recent twistor approach hypotheses

Provides a clear LHC-to-twistors dictionary

Confirms the consistency of the twistor construction

Abstract

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