Towards the Virasoro-Shapiro amplitude in AdS5×S5
Theresa Abl, Paul Heslop, Arthur E. Lipstein
Abstract
A bstract We propose a systematic procedure for obtaining all single trace 1 / 2-BPS correlators 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 corresponding to the four-point tree-level amplitude for type IIB string theory in AdS 5 × S 5 . The underlying idea is to compute generalised contact Witten diagrams coming from a 10d effective field theory on AdS 5 × S 5 whose coefficients are fixed by the flat space Virasoro-Shapiro amplitude up to ambiguities related to commutators of the 10d covariant derivatives which require additional information such as localisation. We illustrate this procedure by computing stringy corrections to the supergravity prediction for all single trace 1 / 2-BPS correlators up to $$ \mathcal{O} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>O</mml:mi> </mml:math> ( α ′ 7 ), and spell out a general algorithm for extending this to any order in α ′.