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 $({\alpha }^{\prime }{)}^3$ 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

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• Writing CFT correlation functions as AdS scattering amplitudes
• Mellin amplitudes for $Ad{S}_5\times S^5$
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
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• Single Particle Operators and their Correlators in Free $\mathcal{N}=4$ SYM
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Cited by in corpus (9)

• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
• The Virasoro-Shapiro amplitude in AdS${}_5\times$S${}^5$ and level splitting of 10d conformal symmetry
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• All loop structures in Supergravity Amplitudes on $Ad{S}_5\times S^5$ from CFT
• BCJ relations in ${AdS}_5\times S^3$ and the double-trace spectrum of super gluons
• Laplace-difference equation for integrated correlators of operators with general charges in $\mathcal{N}=4$ SYM
• Notes on gravity multiplet correlators in $Ad{S}_3\times S^3$
• One-loop string amplitudes in AdS${}_5\times$S${}^5$: Mellin space and sphere splitting
• Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry