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The frequency dependent conductivity $\sigma(\omega)$ of the strongly coupledQuark-Gluon Plasma (QGP) is estimated using a bottom up holographic model thatcan adequately describe recent lattice data for QCD thermodynamics at zerochemical potential. Different choices for the coupling between the bulk gaugefield and the other bulk fields that define the background (the metric and ascalar field) are used in order to fit the lattice data for the electric chargesusceptibility $\chi_2^Q/T^2$. The ratio $\sigma_{DC}/T$ is found to vary nearthe deconfinement transition in a way that is similar to recent latticeresults. This model is used to compute the charge diffusion coefficient $D$ ofthe strongly coupled plasma. We find that the dimensionless combination $DT$has the same type of temperature dependence displayed by $\sigma_{DC}/T$ and,thus, charge diffusion is suppressed at low temperatures. The frequencydependent conductivity $\sigma(\omega)$ reveals some nontrivial structure forvalues of the temperature near the phase transition. None of these structuresappear in the associated Euclidean correlator, which we also compute. Ourresults suggest that the conformal invariance violation near the QCDdeconfinement phase transition may be seen in the Euclidean correlator througha downward shift of its value at the minimum, which gives a rough estimate ofthe temperature dependence of the DC conductivity in the plasma.

A holographic calculation of the electric conductivity of the strongly coupled quark-gluon plasma near the deconfinement transition