One-loop string corrections to AdS amplitudes from CFT
J.M. Drummond, H. Paul
Abstract
A bstract We consider α ′ corrections to the one-loop four-point correlator of the stress- tensor multiplets in $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 super Yang-Mills at order 1 /N 4 . Holographically, this is dual to string corrections of the one-loop supergravity amplitude on AdS 5 × S 5 . While this correlator has been considered in Mellin space before, we derive the corresponding position space results, gaining new insights into the analytic structure of AdS loop amplitudes. Most notably, the presence of a transcendental weight three function involving new singularities is required, which has not appeared in the context of AdS amplitudes before. We thereby confirm the structure of string corrected one-loop Mellin amplitudes, and also provide new explicit results at orders in α ′ not considered before.