On Three-point Functions in the AdS_4/CFT_3 Correspondence
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.
Cite
@article{arxiv.1211.1359,
title = {On Three-point Functions in the AdS_4/CFT_3 Correspondence},
author = {Agnese Bissi and Charlotte Kristjansen and Ara Martirosyan and Marta Orselli},
journal= {arXiv preprint arXiv:1211.1359},
year = {2013}
}
Comments
24 pages. v2: typos corrected, references added, published version