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arXiv · hep-th/0003218

Near-extremal correlators and vanishing supergravity couplings in AdS/CFT

E. D'Hoker·J. Erdmenger·D. Z. Freedman·M. Perez-Victoria
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Abstract

We study near-extremal n-point correlation functions of chiral primary operators, in which the maximal scale dimension k is related to the others by k=\sum_i k_i-m with m equal to or smaller than n-3. Through order g^2 in field theory, we show that these correlators are simple sums of terms each of which factors into products of lower-point correlators. Terms which contain only factors of two- and three-point functions are not renormalized, but other terms have non-vanishing order g^2 corrections. We then show that the contributing AdS exchange diagrams neatly match this factored structure. In particular, for n=4,5 precise agreement in form and coefficient is established between supergravity and the non-renormalized factored terms from field theory. On the other hand, contact diagrams in supergravity would produce a non-factored structure. This leads us to conjecture that the corresponding bulk couplings vanish, so as to achieve full agreement between the structure of these correlators in supergravity and weak-coupling field theory.

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E. D'Hoker, J. Erdmenger, D. Z. Freedman, M. Perez-Victoria. 2000-03-24. Near-extremal correlators and vanishing supergravity couplings in AdS/CFT. https://doi.org/10.1016/s0550-3213(00)00534-4

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