Bootstrap AdS Veneziano Amplitude with Arbitrary Kaluza-Klein Modes

TL;DR

This paper derives a universal first curvature correction to the AdS Veneziano amplitude for arbitrary Kaluza-Klein modes using a bootstrap approach, providing new predictions and insights into high-energy behavior.

Contribution

It introduces a universal formula for the first order curvature correction to the AdS Veneziano amplitude applicable to any KK modes, without low-lying KK assumptions.

Findings

Universal curvature correction formula derived

New predictions for Wilson coefficients in low-energy expansion

Amplitude shows universal high-energy exponent independent of KK charges

Abstract

We present a derivation of the first curvature correction to the AdS Veneziano amplitude for arbitrary Kaluza-Klein (KK) modes, using a bootstrap approach based on the world-sheet representation and AdS$\times$S formalism. Our results establish a universal formula for the first order curvature correction without considering any low-lying KK configurations. We give new predictions for Wilson coefficients in the low-energy expansion. In the high-energy regime, the amplitude exhibits a universal exponent independent of the external KK charges, providing a coherent picture of AdS stringy amplitudes in different backgrounds.