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

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

2011-08-18

arxiv.org/abs/1108.3812v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures

Scientific paper

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.

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