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 ω δ , where the exponent δ is determined by the dilaton coupling α and the spacetime dimension parameter d. Moreover, we also study the Gauss-Bonnet corrections to η/s in a five-dimensional finite-temperature background.

Holographic entanglement entropy of semi-local quantum liquids

“…Generally, the full solution should be considered when considering the thermodynamics, while for our case the exact solution just describes the IR geometry. However, we can still discuss the thermodynamics by dimensional analysis and scaling arguments, following [23,24]. As discussed in previous subsection, it can easily be obtained that …”

Moduli and electromagnetic black brane holography

“…We use the membrane paradigm approach [24] and its higher derivative generalization [25,26] (see, also, [27]) to compute the shear viscosity (related work for finite chemical potential can be found in [28][29][30][31][32][33][34][35][36][37]). In particular, we study the effect of the moduli (in the presence of a generic set of four-derivative interactions) on the viscosity bound.…”

Conductivity in an anisotropic background

“…The authors also examined the thermodynamics of near extremal black holes and computed the AC conductivity in zero-temperature background. For related works on charged dilaton black holes see [16][17][18][19].…”