Three-point correlators: finite-size giant magnons and singlet scalar operators on higher string levels

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, carrying one or two angular momenta. The "light" states are taken to be singlet scalar operators on higher string levels. We first consider the case of string theory on AdS_5xS^5 dual to N = 4 super Yang-Mills. Then we extend the obtained results to the gamma-deformed AdS_5x S^5, corresponding to N = 1 super Yang-Mills theory, appearing as an exactly marginal deformation of N=4 super Yang-Mills.

15 pages, no figures

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Cited by in corpus (13)

• Extremal vs. Non-Extremal Correlators with Giant Gravitons
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Correlators of massive string states with conserved currents
• 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${}_5\times S^5$
• Spin-$s$ $Q$-systems: Twist and Open Boundaries
• 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
• P-Branes Dynamics, AdS/CFT and Correlation Functions