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AdS×S Mellin Bootstrap, Hidden 10D Symmetry and Five-Point Kaluza-Klein Functions in N=4 Supersymmetric Yang-Mills Theory

Bruno Fernandes1,*, Vasco Gonçalves1,†, Zhongjie Huang (黄中杰)2,3,‡, Yichao Tang (唐一朝)4,5,§, Joao Vilas Boas6,∥, and Ellis Ye Yuan (袁野)2,3,¶

  • *Contact author: cbruno.dfernandes@gmail.com
  • †Contact author: vasco.dfg@gmail.com
  • ‡Contact author: zjhuang@zju.edu.cn
  • §Contact author: tangyichao@itp.ac.cn
  • ∥Contact author: joaomiguelvb@gmail.com
  • Contact author: eyyuan@zju.edu.cn

Phys. Rev. Lett. 136, 081602 – Published 26 February, 2026

DOI: https://doi.org/10.1103/3qyd-n621

Abstract

We propose an AdS×S factorization formula at the level of the generating function for correlators with arbitrary Kaluza-Klein configurations and implement it in the supergravity limit of N=4 supersymmetric Yang-Mills theory. By incorporating this mechanism into Mellin space bootstrap, together with an observed Z2 symmetry under AdS↔S, we manage to simultaneously work out unified formulas both for all five-point half-BPS correlators and for all four-point correlators with one superdescendant. This AdS×S bootstrap method is directly applicable to generic multipoint computation at tree level.

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