Towards the Virasoro-Shapiro Amplitude in AdS5xS5

TL;DR

This paper develops a systematic method to compute all single trace 1/2-BPS correlators in N=4 super Yang-Mills from the four-point amplitude of type IIB string theory in AdS5xS5, including stringy corrections up to a certain order.

Contribution

It introduces a procedure to derive correlators from a 10d effective field theory on AdS5xS5 using the Virasoro-Shapiro amplitude, extending to higher orders in '.

Findings

Computed stringy corrections up to O('^7) for all single trace 1/2-BPS correlators.

Established a general algorithm for extending calculations to any order in '.

Demonstrated the connection between flat space amplitudes and AdS correlators.

Abstract

We propose a systematic procedure for obtaining all single trace 1/2-BPS correlators in N=4 super Yang-Mills corresponding to the four-point tree-level amplitude for type IIB string theory in AdS5xS5. The underlying idea is to compute generalised contact Witten diagrams coming from a 10d effective field theory on AdS5xS5 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 $O(\alpha'^7)$, and spell out a general algorithm for extending this to any order in $\alpha'$.