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Leading finite-size effects on some three-point correlators in TsT-deformed AdS_5 x S^5

We compute the leading finite-size effects on the normalized structure constants in semiclassical three-point correlation functions of two finite-size giant magnon string states and three different types of "light" states - primary scalar operators, dilaton operator with nonzero momentum and singlet scalar operators on higher string levels. This is done for the case of TsT-transformed, or gamma-deformed, AdS_5 x S^5 string theory background, dual to N = 1 super Yang-Mills theory in four dimensions, arising as an exactly marginal deformation of N = 4 super Yang-Mills.