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

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 Z_{2} 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.