One-loop amplitudes in AdS5×S5 supergravity from N$$ \mathcal{N} $$ = 4 SYM at strong coupling

We explore the structure of maximally supersymmetric Yang-Mills correlators in the supergravity regime. We develop an algorithm to construct one-loop supergravity amplitudes of four arbitrary Kaluza-Klein supergravity states, properly dualised into singleparticle operators. We illustrate this algorithm by constructing new explicit results for multi-channel correlation functions, and we show that correlators which are degenerate at tree level become distinguishable at one-loop. The algorithm contains a number of subtle features which have not appeared until now. In particular, we address the presence of nontrivial low twist protected operators in the OPE that are crucial for obtaining the correct one-loop results. Finally, we outline how the differential operators Dbpqrs and ∆(8), which play a role in the context of the hidden 10d conformal symmetry at tree level, can be used to reorganise our one-loop correlators