Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.03606

Authors: Bissi, Agnese, Fardelli, Giulia, Puerta-Ramisa, Hector

Institutions: Boston University, École Polytechnique Fédérale de Lausanne, Durham University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Office of Science, Science and Technology Facilities Council

OpenAlex ID: W7220430453

Cites: 22

Cited by:

Related to: 10