Holography of Charged Dilaton Black Holes in General Dimensions

Abstract

We study several aspects of charged dilaton black holes with planar symmetry in $(d+2)$-dimensional spacetime, generalizing the four-dimensional results investigated in arXiv:0911.3586 [hep-th]. We revisit the exact solutions with both zero and finite temperature and discuss the thermodynamics of the near-extremal black holes. We calculate the AC conductivity in the zero-temperature background by solving the corresponding Schrödinger equation and find that the AC conductivity behaves like ${\omega }^{\delta }$, where the exponent $\delta$ is determined by the dilaton coupling $\alpha$ and the spacetime dimension parameter $d$. Moreover, we also study the Gauss-Bonnet corrections to $\eta /s$ in a five-dimensional finite-temperature background.

23 pages, LaTeX, to appear in JHEP

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• Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
• Domain Wall Holography for Finite Temperature Scaling Solutions
• Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries
• Dilatonic black holes in gravity's rainbow with a nonlinear source: the effects of thermal fluctuations
• Holography of charged dilatonic black branes at finite temperature
• Strange Metallic Behavior in Anisotropic Background
• Holographic superconductors with $z=2$ Lifshitz scaling
• Effects of power-law Maxwell field on the Van der Waals like phase transition of higher dimensional dilaton black holes
• Lifshitz-like black brane thermodynamics in higher dimensions
• Study of Anisotropic Black Branes in Asymptotically anti-de Sitter
• Holographic Superconductors from Einstein-Maxwell-Dilaton Gravity
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• Charged Dilatonic AdS Black Branes in Arbitrary Dimensions
• Holographic Conductivity in Disordered Systems
• Conductivity in the anisotropic background
• Generating Temperature Flow for eta/s with Higher Derivatives: From Lifshitz to AdS
• Higher derivative corrections to Lifshitz backgrounds
• Zero Sound in Effective Holographic Theories
• Dynamic phase transition of charged dilaton black holes
• Moduli and electromagnetic black brane holography
• Strange Metallic Behaviour and the Thermodynamics of Charged Dilatonic Black Holes
• Stability of Horava-Lifshitz Black Holes in the Context of AdS/CFT
• Local free-fall Temperature of GMGHS Black Holes
• A Comment on Holographic Luttinger Theorem
• Stringy Stability of Charged Dilaton Black Holes with Flat Event Horizon
• Holographic charge transport in Lifshitz black hole backgrounds
• An alternative perspective to observe the critical phenomena of dilaton AdS black holes
• Holography and hydrodynamics for EMD theory with two Maxwell fields
• Trajectories of photons around a rotating black hole with unusual asymptotics
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