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The quest for extension of holographic correspondence to non-relativistic sectors naturally includes Schrodinger backgrounds and their field theory duals. In this paper we study the holography by probing the correspondence with pulsating strings. The case we consider is pulsating strings in five-dimensional Schrodinger space times five-torus $T^{1,1}$, which has as field theory dual a dipole CFT. First we find particular pulsating string solutions and then semi-classically quantize the theory. We obtain the wave function of the problem and thoroughly study the corrections to the energy, which by duality are supposed to give anomalous dimensions of certain operators in the dipole CFT.
We study a general class of spinning pulsating strings in $(AdS_5 times S^5)_{varkappa}$ background. For these family of solitons, we examine the scaling relation between the energy, spin or angular momentum. We verify that in $varkappa rightarrow 0
Recently, Arutyunov, Bassi and Lacroix have shown that 2D non-linear sigma model with a deformed $T^{1,1}$ background is classically integrable [arXiv:2010.05573 [hep-th]]. This background includes a Kalb-Ramond two-form with a critical value. Then t
We discuss finite-size corrections to the spiky strings in $AdS$ space which is dual to the long $mathcal{N}=4$ SYM operators of the form Tr($Delta_+ ^{J_1}phi_1Delta_+ ^{J_2}phi_2...Delta_+ ^{J_n}phi_n$). We express the finite-size dispersion relati
In this manuscript we study Liouvillian non-integrability of strings in $AdS_{6}times S^{2}timesSigma$ background and its 5D Holographic Duals. For this we consider soliton strings and look for simple solutions in order to reduce the equations to onl
We consider quantum global vortex string correlation functions, within the Kalb-Ramond framework, in the presence of a background field-strength tensor and investigate the conditions under which this yields a nontrivial contribution to those correlat