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

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.

10 pages

References in corpus (6)

• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Composite Operators in the Twistor Formulation of $\mathcal{N}=4$ SYM Theory
• Holomorphic Linking, Loop Equations and Scattering Amplitudes in Twistor Space
• A Twistorial Approach to Integrability in N=4 SYM
• Correlation functions of the chiral stress-tensor multiplet in N=4 SYM
• Twistors versus harmonics

Cited by in corpus (10)

• The Correlahedron
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Twistor methods for AdS${}_5$
• A note on connected formula for form factors
• Composite operators and form factors in N=4 SYM
• The 4d/2d correspondence in twistor space and holomorphic Wilson lines
• Four dimensional ambitwistor strings and form factors of local and Wilson line operators
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Twistor fishnets
• Ambitwistor strings and reggeon amplitudes in N=4 SYM