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.

24 pages. v2: typos corrected, references added, published version

References in corpus (13)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• On three-point correlation functions in the gauge/gravity duality
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Holographic three-point functions of giant gravitons
• On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT
• Tailoring Three-Point Functions and Integrability IV. Theta-morphism
• Giant Gravitons on AdS_4 x CP^3 and their Holographic Three-point Functions
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• The SO(6) Scalar Product and Three-Point Functions from Integrability
• Slavnov determinants, Yang-Mills structure constants, and discrete KP

Cited by in corpus (2)

• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Correlation functions of the ABJM model