All loop structures in supergravity amplitudes on AdS<sub>5</sub> × S<sup>5</sup> from CFT
Agnese Bissi, Giulia Fardelli, Alessandro Georgoudis
Abstract
Abstract We compute a set of structures which appear in the four-point function of protected operators of dimension two in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mi mathvariant="script">N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>4</mml:mn> </mml:math> super Yang Mills with SU ( N ) gauge group, at any order in a large N expansion. They are determined only by leading order CFT data. By focusing on a specific limit, we make connection with the dual supergravity amplitude in flat space, where such structures correspond to iterated s -cuts. We make several checks and we conjecture that the same interpretation holds for supergravity amplitudes on AdS 5 × S 5 .