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PreprintCC BY 4.0arXiv

Non-Renormalizability Properties of Quarter-BPS Correlators in 𝒩=4 SYM

Abstract

We study extremal and next-to-extremal four-point correlators involving general quarter-BPS operators in 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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BibTeX
@misc{bissi2026nonrenormalizability,
  title = {{Non-Renormalizability Properties of Quarter-BPS Correlators in $\mathcalN$=4 SYM}},
  author = {Agnese Bissi and Giulia Fardelli and Hector Puerta-Ramisa},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03606},
  eprint = {2610.03606},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03606},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Non-Renormalizability Properties of Quarter-BPS Correlators in 𝒩=4 SYM
AU  - Agnese Bissi
AU  - Giulia Fardelli
AU  - Hector Puerta-Ramisa
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.03606
UR  - https://arxiv.org/abs/2610.03606
AB  - We study extremal and next-to-extremal four-point correlators involving general quarter-BPS operators in 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.
ER  -