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arXiv · 1211.1359

On Three-point Functions in the AdS_4/CFT_3 Correspondence

Agnese Bissi·Charlotte Kristjansen·Ara Martirosyan·Marta Orselli
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Abstract

We calculate planar, tree-level, non-extremal three-point functions of operators belonging to the SU(2) x SU(2) sector of ABJM theory. First, we generalize the determinant representation, found by Foda for the three-point functions of the SU(2) sector of N=4 SYM, to the present case and find that the ABJM result up to normalization factors factorizes into a product of two N=4 SYM correlation functions. Secondly, we treat the case where two operators are heavy and one is light and BPS, using a coherent state description of the heavy ones. We show that when normalized by the three-point function of three BPS operators the heavy-heavy-light correlation function agrees, in the Frolov-Tseytlin limit, with its string theory counterpart which we calculate holographically.

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Agnese Bissi, Charlotte Kristjansen, Ara Martirosyan, Marta Orselli. 2013-02-01. On Three-point Functions in the AdS_4/CFT_3 Correspondence. https://doi.org/10.1007/jhep01(2013)137

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