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PreprintarXiv licencearXiv

Negative Rank Relations for Giant Graviton Correlators

  • Qi Chen
  • Zhongjie Huang
  • Xinan Zhou
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Abstract

We study correlation functions of giant and dual giant gravitons in 𝒩=4 super Yang--Mills theory. Although the two objects correspond to rather different D3 brane configurations in AdS5× S5, their gauge theory operators are Schur polynomials associated with transposed Young diagrams. We show that this transposition is accompanied by a formal rank reflection N→ −N at the level of correlation functions. For both U(N) and SU(N), the relation is exact for free correlators at finite N, and, using Lagrangian insertion, extends to separated point weak coupling integrands at every loop order. More generally, it applies to any number of Schur polynomial external operators, provided all Young diagrams are transposed. We illustrate the relation in several examples and also discuss evidence for its extension beyond perturbative integrands.

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Cite

BibTeXRIS
BibTeX
@misc{chen2026negative,
  title = {{Negative Rank Relations for Giant Graviton Correlators}},
  author = {Qi Chen and Zhongjie Huang and Xinan Zhou},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25846},
  eprint = {2609.25846},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25846},
}
RIS
TY  - UNPB
TI  - Negative Rank Relations for Giant Graviton Correlators
AU  - Qi Chen
AU  - Zhongjie Huang
AU  - Xinan Zhou
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.25846
UR  - https://arxiv.org/abs/2609.25846
AB  - We study correlation functions of giant and dual giant gravitons in 𝒩=4 super Yang--Mills theory. Although the two objects correspond to rather different D3 brane configurations in AdS_5× S^5, their gauge theory operators are Schur polynomials associated with transposed Young diagrams. We show that this transposition is accompanied by a formal rank reflection N→ −N at the level of correlation functions. For both U(N) and SU(N), the relation is exact for free correlators at finite N, and, using Lagrangian insertion, extends to separated point weak coupling integrands at every loop order. More generally, it applies to any number of Schur polynomial external operators, provided all Young diagrams are transposed. We illustrate the relation in several examples and also discuss evidence for its extension beyond perturbative integrands.
ER  -