One-loop string corrections for AdS Kaluza-Klein amplitudes

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 $(\hat{I}{\pm }^{\prime }{)}^3$ corrections to the family of correlators $⟨{\mathcal{O}}_2{\mathcal{O}}_2{\mathcal{O}}_p{\mathcal{O}}_p⟩$ 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.

28 pages; v2: minor improvements, journal version