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The quest for extension of holographic correspondence to non-relativisticsectors naturally includes Schr\"odinger backgrounds and their field theoryduals. In this paper we study the holography by probing the correspondence withpulsating strings. The case we consider is pulsating strings infive-dimensional Schr\"odinger space times five-torus $T^{1,1}$, which has asfield theory dual a dipole CFT. First we find particular pulsating stringsolutions and then semi-classically quantize the theory. We obtain the wavefunction of the problem and thoroughly study the corrections to the energy,which by duality are supposed to give anomalous dimensions of certain operatorsin the dipole CFT.

Pulsating strings in $Schr_5 \times T^{1,1}$ background