PreprintCC BY-NC-SA 4.0arXiv
Fortuitous BMN Operators from Multiple Cores
Abstract
We develop a systematic construction of fortuitous cohomology classes in the BMN sector of 𝒩=4 super Yang--Mills theory from multiple lower-rank building blocks. For arbitrary partitions of colour space, we construct corrected effective letters that obey the supersymmetry transformations of the corresponding lower-rank theories. These allow us to build gauge-invariant, Q-closed polynomial operators. A restriction map recovers the constituent cohomology classes, establishing non-exactness and fortuity without brute-force computations. As an explicit example, we combine two fortuitous SU(2) cores to construct a fortuitous class in SU(4). Our results provide a systematic approach to the structure of fortuitous cohomology at finite N.
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BibTeX
@misc{koch2026fortuitous,
title = {{Fortuitous BMN Operators from Multiple Cores}},
author = {Robert de Mello Koch and Sarthak Duary and Minkyoo Kim and Sinong Liu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04722},
eprint = {2611.04722},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04722},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Fortuitous BMN Operators from Multiple Cores
AU - Robert de Mello Koch
AU - Sarthak Duary
AU - Minkyoo Kim
AU - Sinong Liu
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04722
UR - https://arxiv.org/abs/2611.04722
AB - We develop a systematic construction of fortuitous cohomology classes in the BMN sector of 𝒩=4 super Yang--Mills theory from multiple lower-rank building blocks. For arbitrary partitions of colour space, we construct corrected effective letters that obey the supersymmetry transformations of the corresponding lower-rank theories. These allow us to build gauge-invariant, Q-closed polynomial operators. A restriction map recovers the constituent cohomology classes, establishing non-exactness and fortuity without brute-force computations. As an explicit example, we combine two fortuitous SU(2) cores to construct a fortuitous class in SU(4). Our results provide a systematic approach to the structure of fortuitous cohomology at finite N.
ER -