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Four-Point Yang-Mills Correlators in AdS4 from All-Line Recursion: All-Plus, Single-Minus and MHV

  • Dhruv Pathak
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Abstract

We review Raju's all-line recursion relations for Yang-Mills theory in AdS4 and evaluate four-point correlators for the All-plus, Single-minus, and MHV helicity configurations. We point out the relevant deformation for the legs needed to obtain the correlators. In particular, we explicitly derive the expressions for all the residues contributing to all three correlators. We also perform an explicit numerical check with the results computed by Witten diagram computations and find perfect agreement with our results. Finally, we conclude by discussing some applications of these recursions for obtaining higher-point functions.

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Cite

BibTeXRIS
BibTeX
@misc{pathak2026fourpoint,
  title = {{Four-Point Yang-Mills Correlators in AdS$_4$ from All-Line Recursion: All-Plus, Single-Minus and MHV}},
  author = {Dhruv Pathak},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.20493},
  eprint = {2609.20493},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.20493},
}
RIS
TY  - UNPB
TI  - Four-Point Yang-Mills Correlators in AdS_4 from All-Line Recursion: All-Plus, Single-Minus and MHV
AU  - Dhruv Pathak
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.20493
UR  - https://arxiv.org/abs/2609.20493
AB  - We review Raju's all-line recursion relations for Yang-Mills theory in AdS_4 and evaluate four-point correlators for the All-plus, Single-minus, and MHV helicity configurations. We point out the relevant deformation for the legs needed to obtain the correlators. In particular, we explicitly derive the expressions for all the residues contributing to all three correlators. We also perform an explicit numerical check with the results computed by Witten diagram computations and find perfect agreement with our results. Finally, we conclude by discussing some applications of these recursions for obtaining higher-point functions.
ER  -