On the Regge behaviour of the AdS Virasoro-Shapiro Amplitude

TL;DR

This paper computes the AdS Virasoro-Shapiro amplitude in the Regge limit, expressing it through CFT data and derivatives of the flat space amplitude, providing insights into its structure and consistency with recent theoretical proposals.

Contribution

It presents a novel computation of the AdS Virasoro-Shapiro amplitude in the Regge limit, linking it to flat space amplitudes and integral representations involving single-valued logarithms.

Findings

Amplitude expressed in terms of derivatives of flat space Virasoro-Shapiro amplitude.

Result valid to all orders in small curvature expansion.

Integral representation involving single-valued logarithms consistent with recent theories.

Abstract

We compute the AdS Virasoro-Shapiro amplitude in the Regge limit, in terms of the CFT data of the exchanged operators in the leading Regge trajectory. To any order in the small curvature expansion, the result can be written in terms of derivatives of the flat space Virasoro-Shapiro amplitude in the Regge limit. The result also admits an integral representation involving single-valued logarithms, fully consistent with recent proposals for the full AdS Virasoro-Shapiro amplitude.