One-loop string corrections for AdS Kaluza-Klein amplitudes

TL;DR

This paper computes string corrections to one-loop amplitudes in AdS$_5$×S$^5$, focusing on Mellin space representations and leading corrections to specific correlators, revealing insights into anomalous dimensions of low-twist operators.

Contribution

It provides the first explicit expressions for $( ext{α}')^3$ string corrections to one-loop correlators in AdS$_5$×S$^5$ in Mellin space, including new insights into multi-channel correlators.

Findings

Derived leading string corrections to specific correlators at one loop

Extracted anomalous dimensions for low-twist operators

Explored the structure of correlators with multiple channels

Abstract

We discuss the string corrections to one-loop amplitudes in AdS$_5\times$S$^5$, focussing on their expressions in Mellin space. We present the leading $(\alpha')^3$ corrections to the family of correlators $\langle \mathcal{O}_2 \mathcal{O}_2 \mathcal{O}_p \mathcal{O}_p \rangle$ at one loop and begin the exploration of the form of correlators with multiple channels. From these correlators we extract some string corrections to one-loop anomalous dimensions of families of operators of low twist.