Holography of Charged Dilaton Black Holes

摘要: We study charged dilaton black branes in AdS4. Our system involves a ϕ coupled to Maxwell field Fμν with dilaton-dependent gauge coupling, \( \frac{1}{{{g^2}}} = {f^2}\left( \phi \right) \). First, we find the solutions for extremal and near through combination of analytical numerical techniques. The horizon geometries simplest cases, where f(ϕ) eαϕ, are Lifshitz-like, dynamical exponent z determined by α. hole thermodynamics varies an interesting way α, but all cases entropy is vanishing specific heat positive solutions. then compute conductivity these backgrounds. that somewhat surprisingly, AC vanishes like ω2 at T 0 independent also explore brane physics several other classes gauge-coupling functions f(ϕ). In addition possible applications AdS/CMT, interest from point view attractor mechanism. universal, asymptotic values moduli, describe generic endpoints flows which different AdS2 × R2.