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Some three-point correlation functions in the $η$ $η$ -deformed ${AdS}_{5} \times S^{5}$ ${AdS}_{5} \times S^{5}$

Plamen Bozhilov

Plamen Bozhilov

Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 1784 Sofia, Bulgaria

E-mail Address: bozhilov@inrne.bas.bg

E-mail Address: bozhilov.p@gmail.com

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https://doi.org/10.1142/S0217751X15502243Cited by:5 (Source: Crossref)

Abstract

We compute some normalized structure constants in the $η$ $η$ -deformed ${AdS}_{5} \times S^{5}$ ${AdS}_{5} \times S^{5}$ in the framework of the semiclassical approach. This is done for the cases when the “heavy” string states are finite-size giant magnons carrying one angular momentum and for three different choices of the “light” state: primary scalar operators, dilaton operator with nonzero momentum, singlet scalar operators on higher string levels. Since the dual field theory is still unknown, the results obtained here must be considered as conjectures or as predictions from the string theory side.

Keywords:

PACS: 11.25.-w, 11.25.Tq

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