Hydrodynamics of RN AdS4 black hole and Holographic Optics
Abstract
We consider the AdS4 RN black hole and work out the momentum dependent hydrodynamic analysis for the vector modes. We also perform the spectral function calculation of the dual field theory. As an application, we consider the permittivity and permeability and find that for low frequency regime, the index of refraction is found to be negative, supporting the claim made in ref.amariti for AdS5. We also find that at static limit the medium has the zero permeability, a character of the superconductivity .
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