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arXiv · hep-th/0003038

On the correspondence between gravity fields and CFT operators

G. Arutyunov·S. Frolov
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Abstract

It is shown that a nonlinear derivative-dependent transformation of gravity fields changes correlation functions in a boundary CFT, and, therefore, corresponds to a change of a basis of operators in the CFT. It is argued that only non-renormalized structures in correlation functions can be changed by such a field transformation, and that the study of the response of correlation functions to gravity field transformations allows one to find them. In the case of 4-point functions of CPOs in SYM_4 several non-renormalized structures are found, including the extremal and subextremal ones. It is also checked that quartic couplings of scalar fields s^I that are dual to extended chiral primary operators vanish in the subextremal case, as dictated by the non-renormalization theorem for the subextremal 4-point functions and the AdS/CFT correspondence.

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G. Arutyunov, S. Frolov. 2000-03-06. On the correspondence between gravity fields and CFT operators. https://doi.org/10.1088/1126-6708%2F2000%2F04%2F017

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