On a Large N Degeneracy in N=4 SYM and the AdS/CFT Correspondence

Abstract

We study the four-point correlator of 1/2-BPS operators of weight 4 in N=4 SYM, which are dual to massive KK modes in AdS_5 supergravity. General field-theoretic arguments lead to a partially non-renormalized form of the amplitude that depends on two a priori independent functions of the conformal cross-ratios. We explicitly compute the amplitude in the large N limit at one loop (order g^2) and in AdS_5 supergravity. Surprisingly, the one-loop result shows that the two functions determining the amplitude coincide while in the supergravity regime they are distinctly different. We discuss the possible implications of this perturbative degeneracy for the AdS/CFT correspondence.

32 pages, 5 figures, LaTex, the Summary and Conclusions section extended, references added

References in corpus (5)

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Cited by in corpus (52)

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• $\mathcal{N}=4$ Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization
• All Tree-Level Correlators in AdS${}_5\times$S${}_5$ Supergravity: Hidden Ten-Dimensional Conformal Symmetry
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• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
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• Far Beyond the Planar Limit in Strongly-Coupled $\mathcal{N}=4$ SYM
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• Genus-2 Holographic Correlator on $Ad{S}_5\times S^5$ from Localization
• Handling Handles: Nonplanar Integrability in $\mathcal{N}=4$ Supersymmetric Yang-Mills Theory
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• On Feynman rules for Mellin amplitudes in AdS/CFT
• All three-loop four-point correlators of half-BPS operators in planar N=4 SYM
• On Superconformal Four-Point Mellin Amplitudes in Dimension $d>2$
• Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions
• Three-point functions in $\mathcal{N}=4$ SYM: the hexagon proposal at three loops
• Holographic Four-Point Functions in the (2, 0) Theory
• Next-next-to-extremal Four Point Functions of N=4 1/2 BPS Operators in the AdS/CFT Correspondence
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• The structure of n-point functions of chiral primary operators in N=4 super Yang-Mills at one-loop
• Four-point correlators with higher weight superconformal primaries in the AdS/CFT Correspondence
• Handling Handles. Part II. Stratification and Data Analysis
• Towards the Virasoro-Shapiro Amplitude in AdS5xS5
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• All Holographic Four-Point Functions in All Maximally Supersymmetric CFTs
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
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• Superconformal partial waves in Grassmannian field theories
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• Non-planar data of $\mathcal{N}=4$ SYM
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• AdS super gluon scattering up to two loops: A position space approach
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• Decagon at Two Loops
• Regge limit of R-current correlators in AdS Supergravity
• A note on four-point correlators of half-BPS operators in N=4 SYM
• Holographic S-fold theories at one loop
• The four-point function of determinant operators in $\mathcal{N}=4$ SYM
• Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry
• A Universal Formula for the Stress-Tensor Contribution to Scalar Four-Point Functions
• Four-Point Functions with a Twist