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.

arXiv comment28 pages; v2: minor improvements, journal version

References in corpus (34)

• Conformal Four Point Functions and the Operator Product Expansion
• Conformal Partial Waves and the Operator Product Expansion
• Writing CFT correlation functions as AdS scattering amplitudes
• Mellin amplitudes for $Ad{S}_5\times S^5$
• Two loops in eleven dimensions
• How to Succeed at Holographic Correlators Without Really Trying
• Analyticity and the Holographic S-Matrix
• The low energy expansion of the one-loop type II superstring amplitude
• Superconformal Ward Identities and their Solution
• Gravitational S-matrix from CFT dispersion relations
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• $\mathcal{N}=4$ Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization
• Partial non-renormalisation of the stress-tensor four-point function in N=4 SYM and AdS/CFT
• Extremal Correlators in the AdS/CFT Correspondence
• Low energy expansion of the four-particle genus-one amplitude in type II superstring theory
• All Tree-Level Correlators in AdS${}_5\times$S${}_5$ Supergravity: Hidden Ten-Dimensional Conformal Symmetry
• Quantum Gravity from Conformal Field Theory
• Unmixing Supergravity
• Genus-One String Amplitudes from Conformal Field Theory
• Far Beyond the Planar Limit in Strongly-Coupled $\mathcal{N}=4$ SYM
• The double-trace spectrum of N=4 SYM at strong coupling
• Loop corrections for Kaluza-Klein AdS amplitudes
• Genus-2 Holographic Correlator on $Ad{S}_5\times S^5$ from Localization
• One-loop amplitudes in $Ad{S}_5\times S^5$ supergravity from $\mathcal{N}=4$ SYM at strong coupling
• On the correspondence between gravity fields and CFT operators
• Large $p$ explorations. From SUGRA to big STRINGS in Mellin space
• M-Theory Reconstruction from (2,0) CFT and the Chiral Algebra Conjecture
• Single Particle Operators and their Correlators in Free $\mathcal{N}=4$ SYM
• String corrections to AdS amplitudes and the double-trace spectrum of N=4 SYM
• One-loop string corrections to AdS amplitudes from CFT
• Superconformal Invariants or How to Relate Four-point AdS Amplitudes
• Four-point functions of all-different-weight chiral primary operators in the supergravity approximation
• On Genus-one String Amplitudes on $Ad{S}_5\times S^5$
• Simplicity of AdS Supergravity at One Loop

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