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

Abstract

Abstract 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 single- particle 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 non- trivial low twist protected operators in the OPE that are crucial for obtaining the correct one-loop results. Finally, we outline how the differential operators D ̂ pqrs $$ {\hat{D}}_{pqrs} $$ 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.

Keywords

• 1/N Expansion
• AdS-CFT Correspondence
• Conformal Field Theory