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In this paper, following the basic prescriptions of Gauge/String duality, weperform a strong coupling computation on \textit{classical} two pointcorrelation between \textit{local} (single trace) operators in a gauge theorydual to $ \kappa $-deformed $ AdS_{3}\times S^{3}$ background. Our constructionis based on the prescription that relates every local operator in a gaugetheory to that with the (semi)classical string states propagating within the\textit{physical} region surrounded by the holographic screen in deformed $AdS_3 $. In our analysis, we treat strings as being that of a point like objectlocated near the physical boundary of the $ \kappa $- deformed EuclideanPoincare $ AdS_{3} $ and as an extended object with non trivial dynamicsassociated to $ S^{3} $. It turns out that in the presence of small backgrounddeformations, the usual power law behavior associated with two point functionsis suppressed exponentially by a non trivial factor which indicates a fasterdecay of two point correlations with larger separations. On the other hand, inthe limit of large background deformations ($ \kappa \gg 1 $), thecorresponding two point function reaches a point of saturation. In ouranalysis, we also compute finite size corrections associated with these twopoint functions at strong coupling. As a consistency check of our analysis, wefind perfect agreement between our results to that with the earlierobservations made in the context of vanishing deformation.

Stringy correlations on deformed $ AdS_{3}\times S^{3} $