Proof of Quantum Conformal Invariance in $\mathcal N=4$ Super-Yang-Mills Theory via $\mathcal N=1$ Superfields

Abstract

Using the $\mathcal{N}=1$ superfield formalism, we prove that the superconformal symmetry of $\mathcal{N}=4$ super-Yang-Mills theory is preserved in the quantum theory. We demonstrate that the $\mathcal{N}=1$ calculation is sufficient to guarantee the full $\mathcal{N}=4$ supersymmetry, and show that the results are exact without receiving any higher-order corrections.