Three-point correlators: Finite-size giant magnons and singlet scalar operators on higher string levels. (English) Zbl 1229.81223
Summary: 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 \(AdS_{5}\times S^{5}\) dual to \(N=4\) super Yang-Mills. Then we extend the obtained results to the \(\gamma \)-deformed \(AdS_{5}\times S_{\gamma}^{5}\), corresponding to \(N=1\) super Yang-Mills theory, appearing as an exactly marginal deformation of \(N=4\) super Yang-Mills.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81Q20 | Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
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