Matching three-point functions of BMN operators at weak and strong coupling

Abstract

The agreement between string theory and field theory is demonstrated in the leading order by providing the first calculation of the correlator of three two-impurity BMN states with all non-zero momenta. The calculation is performed in two completely independent ways: in field theory by using the large-$N$ perturbative expansion, up to the terms subleading in finite-size, and in string theory by using the Dobashi-Yoneya 3-string vertex in the leading order of the Penrose expansion. The two results come out to be completely identical.

14 pages, 1 figure

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Cited by in corpus (12)

• HHL correlators, orbit averaging and form factors
• Wave functions and correlation functions for GKP strings from integrability
• Holographic three-point functions for short operators
• Three-Point Functions of Twist-Two Operators in N=4 SYM at One Loop
• On Three-point Functions in the AdS_4/CFT_3 Correspondence
• Three-point functions of BMN operators at weak and strong coupling II. One loop matching
• Three-BMN Correlation Functions: Integrability vs. String Field Theory One-Loop Mismatch
• On membrane interactions and a three-dimensional analog of Riemann surfaces
• 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