Magnetoconductivity in chiral Lifshitz hydrodynamics

In this paper, based on the principles of linear response theory, we compute the longitudinal DC conductivity associated with Lifshitz like fixed points in the presence of chiral anomalies in ($3+1$) dimensions. In our analysis, apart from having the usual anomalous contributions due to chiral anomaly, we observe an additional and pure \textit{parity odd} effect to the magnetoconductivity which has its origin in the broken Lorentz (boost) invariance at a Lifshitz fixed point. We also device a holographic set up in order to compute ($z=2$) Lifshitz contributions to the magnetoconductivity precisely at strong coupling and low charge density limit.Comment: Minor clarifications added, Version To Appear In JHE

Holographic charge transport in non commutative gauge theories

In this paper, based on the holographic techniques, we explore the hydrodynamics of charge diffusion phenomena in non commutative $\mathcal{N}=4$ SYM plasma at strong coupling. In our analysis, we compute the $R$ charge diffusion rates both along commutative as well as the non commutative coordinates of the brane. It turns out that unlike the case for the shear viscosity, the DC conductivity along the non commutative direction of the brane differs significantly from that of its cousin corresponding to the commutative direction of the brane. Such a discrepancy however smoothly goes away in the limit of the vanishing non commutativity.Comment: Latex, 11 pages, Version to appear in JHE

Holographic charge diffusion in non relativistic branes

In this paper, based on the principles of gauge/gravity duality and considering the so called \textit{hydrodynamic} limit we compute 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.Comment: 13 pages, clarificatons added, Version to appear in Physics Letters

Stringy correlations on deformed AdS3×S3 AdS_{3}\times S^{3}

In this paper, following the basic prescriptions of Gauge/String duality, we perform a strong coupling computation on \textit{classical} two point correlation between \textit{local} (single trace) operators in a gauge theory dual to $\kappa$-deformed $AdS_{3}\times S^{3}$ 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 \textit{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 $\kappa$- 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 ($\kappa \gg 1$), 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.Comment: Typos fixed, Published Versio