One-loop amplitudes in AdS5×S5 supergravity from $$ \mathcal{N} $$ = 4 SYM at strong coupling
F. Aprile, J.M. Drummond, P. Heslop, H. Paul
Abstract
A bstract 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 $$ {\hat{D}}_{pqrs} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mover> <mml:mi>D</mml:mi> <mml:mo>̂</mml:mo> </mml:mover> <mml:mtext>pqrs</mml:mtext> </mml:msub> </mml:math> 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.