Article

# Holographic flavor transport in Schrödinger spacetime

Journal of High Energy Physics (Impact Factor: 6.22). 03/2010; 2010(6):1-32. DOI: 10.1007/JHEP06(2010)012

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**ABSTRACT:**We analytically compute correlation and response functions of scalar operators for the systems with Galilean and corresponding aging symmetries for general spatial dimensions $d$ and dynamical exponent $z$, along with their logarithmic and logarithmic squared extensions, using the gauge/gravity duality. These non-conformal extensions of the aging geometry are marked by two dimensionful parameters, eigenvalue $\mathcal M$ of an internal coordinate and aging parameter $\alpha$. We further perform systematic investigations on two-time response functions for general $d$ and $z$, and identify the growth exponent as a function of the scaling dimensions $\Delta$ of the dual field theory operators and aging parameter $\alpha$ in our theory. The initial growth exponent is only controlled by $\Delta$, while its late time behavior by $\alpha$ as well as $\Delta$. These behaviors are separated by a time scale order of the waiting time. We attempt to make contact our results with some field theoretical growth models, such as Kim-Kosterlitz model at higher number of spatial dimensions $d$.Nuclear Physics B 03/2013; 874(1). · 3.95 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We study using gauge-gravity duality the transport properties of charge carriers in a strongly-coupled theory with nonrelativistic symmetry, which were obtained via an irrelevant deformation that breaks the initial relativistic conformal group down to the Schodinger group. We compute the associated DC and AC conductivities in the dual gravity description of probe D7-branes in an asymptotically Schrödinger spacetime. We find generically that the conductivities exhibit nonrelativistic scaling with dynamical exponent z = 2 in the ultraviolet, while in the infrared the scaling is relativistic.Journal of Physics Conference Series 02/2012; 343(1). - [Show abstract] [Hide abstract]

**ABSTRACT:**In this paper, based on the principles of gauge/gravity duality and considering the so called \textit{hydrodynamic} limit we have explored various charge transport properties for a class of strongly coupled non relativistic CFTs corresponding to $ z=2 $ fixed point whose dual gravitational counter part could be realized as the consistent truncation of certain non relativistic $ Dp $ branes in the non extremal limit. From our analysis we note that unlike the case for the AdS black branes, the charge diffusion constant in the non relativistic background scales differently with the temperature. This shows a possible violation of the universal bound on the charge conductivity to susceptibility ratio in the context of non relativistic holography.12/2014;

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