Stringy correlations on deformed AdS3 \xd7 S3

Abstract

In this paper, following the basic prescriptions of Gauge/String duality, we perform a strong coupling computation on classical two point correlation between local (single trace) operators in a gauge theory dual to κ-deformed AdS3 × S3 background. Our construction is based on the prescription that relates every local operator in a gauge theory to that with the (semi)classical string states propagating within the physical region surrounded by the holographic screen in deformed AdS3. In our analysis, we treat strings as being that of a point like object located near the physical boundary of the κ-deformed Euclidean Poincare AdS3 and as an extended object with non trivial dynamics associated to S3. It turns out that in the presence of small background deformations, the usual power law behavior associated with two point functions is suppressed exponentially by a non trivial factor which indicates a faster decay of two point correlations with larger separations. On the other hand, in the limit of large background deformations (κ ≫ 1), the corresponding two point function reaches a point of saturation. In our analysis, we also compute finite size corrections associated with these two point functions at strong coupling. As a consistency check of our analysis, we find perfect agreement between our results to that with the earlier observations made in the context of vanishing deformation.