Three-point functions of BMN operators at weak and strong coupling II. One loop matching

Abstract

In a previous paper, arXiv:1204.3096, we have shown that the fully dynamical three-point correlation functions of BMN operators are identical at the tree level in the planar limit of perturbative field theory and, on the string theory side, calculated by means of the Dobashi-Yoneya three string vertex in the Penrose limit. Here we present a one-loop calculation of the same quantity both on the field-theory and string-theory side, where a complete identity between the two results is demonstrated.

14 pages, 2 figures, references added

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• On Three-point Functions in the AdS_4/CFT_3 Correspondence
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• On membrane interactions and a three-dimensional analog of Riemann surfaces
• Three-BMN Correlation Functions: Integrability vs. String Field Theory One-Loop Mismatch
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Three-point correlation functions from pulsating strings in AdS${}_5\times S^5$
• Three-point functions of semiclassical string states and conserved currents in AdS_4 x CP^3
• On semiclassical four-point correlators in AdS_5 x S^5