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

Akihisa D. -E. Tateishi

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arXiv · 2605.25999

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

Akihisa D. -E. Tateishi

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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.

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Akihisa D. -E. Tateishi. 2026-05-25. Proof of Quantum Conformal Invariance in $\mathcal N=4$ Super-Yang-Mills Theory via $\mathcal N=1$ Superfields. https://arxiv.org/abs/2605.25999

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