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

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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.

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hep-th 1

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2024 1

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Composite operators in $\mathcal{N}=4$ Super Yang-Mills

hep-th · 2024-12-27 · conditional · novelty 6.0

Protected symmetry data alone fix the tree-level supergravity correlators of dimension-four double-trace operators, revealing anomalous dimensions for triple-trace operators.

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  • Composite operators in $\mathcal{N}=4$ Super Yang-Mills hep-th · 2024-12-27 · conditional · none · ref 27 · internal anchor

    Protected symmetry data alone fix the tree-level supergravity correlators of dimension-four double-trace operators, revealing anomalous dimensions for triple-trace operators.