Hydrodynamics of RN AdS${}_4$ black hole and Holographic Optics

Abstract

We consider the AdS${}_4$ 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.\cite{amariti} for AdS${}_5$. We also find that at static limit the medium has the zero permeability, a character of the superconductivity .

18+1 pages, 6 figures

References in corpus (6)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Shear Modes, Criticality and Extremal Black Holes
• Holography and the sound of criticality
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• Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale