Abstract
Recently a Mellin-space formula was conjectured for the form of correlation functions of 1/2 BPS operators in planar \( \mathcal{N}=4 \) SYM in the strong ’t Hooft coupling limit. In this work we report on the computation of two previously unknown four-point functions of operators with weights 〈2345〉 and 〈3456〉, from the effective type-IIB supergravity action using AdS/CFT. These correlators are novel: they are the first correlators with all different weights and in particular 〈3456〉 is the first next-next-next-to-extremal correlator to ever have been computed. We also present simplifications of the known algorithm, without which these computations could not have been executed. These simplifications consist of a direct formula for the exchange part and for the contact part of the correlation function, as well as a simplification of the C tensor algorithm to compute a tensors. After bringing our results in the appropriate form we successfully corroborate the recently conjectured formula.
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ArXiv ePrint: 1806.09200
Correspondent fellow at Steklov Mathematical Institute, Moscow. (Gleb Arutyunov)
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Arutyunov, G., Klabbers, R. & Savin, S. Four-point functions of all-different-weight chiral primary operators in the supergravity approximation. J. High Energ. Phys. 2018, 23 (2018). https://doi.org/10.1007/JHEP09(2018)023
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DOI: https://doi.org/10.1007/JHEP09(2018)023