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 -