Non-renormalization of next-to-extremal correlators in N=4 SYM and the AdS/CFT correspondence

Abstract

We show that next-to-extremal correlators of chiral primary operators in N=4 SYM theory do not receive quantum corrections to first order in perturbation theory. Furthermore we consider next-to-extremal correlators within AdS supergravity. Here the exchange diagrams contributing to these correlators yield results of the same free-field form as obtained within field theory. This suggests that quantum corrections vanish at strong coupling as well.

21 pages, LaTex, 9 eps figures, typos corrected and references added

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• $20^{\prime }$ Five-Point Function from $Ad{S}_5\times S^5$ Supergravity
• Extremal Correlators and Hurwitz Numbers in Symmetric Product Orbifolds
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• Implications of N=1 Superconformal Symmetry for Chiral Fields
• Systematics of Quarter BPS operators in N=4 SYM
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• Three-Point Functions of Quarter BPS Operators in N=4 SYM
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• Near-Extremal Correlators and Generalized Consistent Truncation for AdS_{4|7}\times S^{7|4}
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• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• (Non-)perturbative tests of the AdS/CFT correspondence
• AdS/SCFT in Superspace
• Particle versus Field Structure in Conformal Quantum Field Theories
• Simplicity of AdS Supergravity at One Loop
• Rationality of the Anomalous Dimensions in N=4 SYM theory
• Rebooting quarter-BPS operators in $\mathcal{N}=4$ Super Yang-Mills