More three-point correlators of giant magnons with finite size

Abstract

In the framework of the semiclassical approach, we compute the normalized structure constants in three-point correlation functions, when two of the vertex operators correspond to heavy string states, while the third vertex corresponds to a light state. This is done for the case when the heavy string states are finite-size giant magnons with one or two angular momenta, and for two different choices of the light state, corresponding to dilaton operator and primary scalar operator. The relevant operators in the dual gauge theory are Tr(F_{μν}^2 Z^j+...) and Tr(Z^j). We first consider the case of AdS_5 x S^5 and N = 4 super Yang-Mills. Then we extend the obtained results to the gamma-deformed AdS_5 x S^5_γ, dual to N = 1 super Yang-Mills theory, arising as an exactly marginal deformation of N = 4 super Yang-Mills.

14 pages, no figures

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• Matching three-point functions of BMN operators at weak and strong coupling
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Semiclassical correlation functions of Wilson loops and local vertex operators
• Three-Point Correlator of Heavy Vertex Operators for Circular Winding Strings in AdS5xS5
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Extremal Correlator of Three Vertex Operators for Circular Winding Strings in AdS5xS5
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Correlation functions of the ABJM model
• Some three-point correlation functions in the eta-deformed 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${}_5\times S^5$
• On semiclassical four-point correlators in AdS_5 x S^5
• Three-point functions of semiclassical string states and conserved currents in AdS_4 x CP^3
• P-Branes Dynamics, AdS/CFT and Correlation Functions