Non-Renormalizability Properties of Quarter-BPS Correlators in $\mathcal{N}$=4 SYM

Agnese Bissi; Giulia Fardelli; Hector Puerta-Ramisa

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arXiv · 2610.03606

Non-Renormalizability Properties of Quarter-BPS Correlators in $\mathcal{N}$=4 SYM

Agnese Bissi·Giulia Fardelli·Hector Puerta-Ramisa

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Abstract

We study extremal and next-to-extremal four-point correlators involving general quarter-BPS operators in $\mathcal{N}$=4 Super Yang-Mills. Using a combination of $R$-symmetry considerations, operator product expansion content, and analytic superspace techniques, we show that such correlators get contributions only from operators belonging to short and semi-short multiplets. This result together with the non-renormalizability of the relevant three-point functions guarantees that all such four-point correlators are protected from quantum corrections.

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Agnese Bissi, Giulia Fardelli, Hector Puerta-Ramisa. 2026-10-02. Non-Renormalizability Properties of Quarter-BPS Correlators in $\mathcal{N}$=4 SYM. https://arxiv.org/abs/2610.03606

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