Stringy correlations on deformed AdS3 × S 3

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 AdS 3 × S 3 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 AdS 3 . 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 AdS 3 and as an extended object with non trivial dynamics associated to S 3 . 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.

Spinning strings in the η -deformed Neumann-Rosochatius system

“…More recently, the η-deformation of the complete Neumann-Rosochatius system has been found in [7], and the problem of geodesic motion on the η-deformed two-sphere has been shown to be superintegrable [8]. In this article, we will continue the analysis of the η-deformed Neumann-Rosochatius system by constructing a general set of solutions by integration of the problem in terms of Jacobian elliptic functions (additional solutions corresponding to various string configurations in η-deformed AdS 5 × S 5 have been studied before using diverse approaches in references [9]- [17]).…”