Three-point Correlation functions of Giant magnons with finite size

Abstract

We compute holographic three-point correlation functions or structure constants of a zero-momentum dilaton operator and two (dyonic) giant magnon string states with a finite-size length in the semiclassical approximation. We show that the semiclassical structure constants match exactly with the three-point functions between two su(2) magnon single trace operators with finite size and the Lagrangian in the large 't Hooft coupling constant limit. A special limit J>>sqrt(lambda) of our result is compared with the relevant result based on the Lüscher corrections.

13 pages, some references modified and upgraded, minor revision to appear in PLB

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Cited by in corpus (33)

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• A light-cone approach to three-point functions in AdS_5 x S^5
• On holographic three point functions for GKP strings from integrability
• Wave functions and correlation functions for GKP strings from integrability
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Holographic 3-point function at one loop
• Three-point Correlation Function of Giant Magnons in the Lunin-Maldacena background
• More three-point correlators of giant magnons with finite size
• Finite size effect on the magnon's correlation functions
• Three-point correlators: Examples from Lunin-Maldacena background
• Three-point correlators: finite-size giant magnons and singlet scalar operators on higher string levels
• The two-loop dilatation operator of N=4 super Yang-Mills theory in the SO(6) sector
• Matching three-point functions of BMN operators at weak and strong coupling
• Semiclassical correlation functions of Wilson loops and local vertex operators
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Three-Point Correlator of Heavy Vertex Operators for Circular Winding Strings in AdS5xS5
• Three-point functions of BMN operators at weak and strong coupling II. One loop matching
• Extremal Correlator of Three Vertex Operators for Circular Winding Strings in AdS5xS5
• Correlators of massive string states with conserved currents
• Some three-point correlation functions in the eta-deformed AdS_5 x S^5
• Correlation functions of the ABJM model
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Leading finite-size effects on some three-point correlators in TsT-deformed AdS_5 x S^5
• Three-point correlation functions from pulsating strings in AdS${}_5\times S^5$
• Splitting strings on integrable backgrounds
• Some semiclassical structure constants for AdS_4 x CP^3
• Three-point functions of semiclassical string states and conserved currents in AdS_4 x CP^3
• P-Branes Dynamics, AdS/CFT and Correlation Functions
• On semiclassical four-point correlators in AdS_5 x S^5