Jorge E. Santos

Optical Conductivity with Holographic Lattices

A bstractWe add a gravitational background lattice to the simplest holographic model of matter at finite density and calculate the optical conductivity. With the lattice, the zero frequency delta function found in previous calculations (resulting from translation invariance) is broadened and the DC conductivity is finite. The optical conductivity exhibits a Drude peak with a cross-over to power-law behavior at higher frequencies. Surprisingly, these results bear a strong resemblance to the properties of some of the cuprates.

On three-point correlation functions in the gauge/gravity duality

We study the effect of marginal and irrelevant deformations on the renormalization of operators near a CFT fixed point. New divergences in a given operator are determined by its OPE with the operator

Further evidence for lattice-induced scaling

\mathcal{D}

Kerr-CFT and gravitational perturbations

that generates the deformation. This provides a scheme to compute the couplings

Gravitational Turbulent Instability of Anti-de Sitter Space

{a_{\mathcal{D}AB}}

General Relativity and the Cuprates

between the operator

On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions

\mathcal{D}

Black holes with only one Killing field

and two arbitrary operators

Instability and new phases of higher-dimensional rotating black holes

{\mathcal{O}_A}

An instability of higher-dimensional rotating black holes

and