On pulsating strings in Schrodinger backgrounds

According to AdS/CFT duality semi-classical strings in the Schrodinger space-time is conjectured to be a holographic dual to dipole CFT. In this paper we consider pulsating strings in five-dimensional Schrodinger space times five-sphere. We have found classical string solutions pulsating entirely in the Schrodinger part of the background. We quantize the theory semi-classically and obtain the wave function of the problem. We have found the corrections to the energy, which by duality are supposed to give anomalous dimensions of certain operators in the dipole CFT.