2009/11/30 by Kevin Goldstein, Shamit Kachru, Shiroman Prakash +1 · 333 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Attractor #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Brane cosmology #Cosmology and Gravitation Theories #Coupling (piping) #Critical exponent #Dilaton #Entropy (arrow of time) #Exponent #Extremal black hole #Gauge theory #Horizon #Mathematical analysis #Mathematical physics #Moduli #Omega #Phase transition #Physics #Quantum mechanics #cond-mat.str-el #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep08(2010)078
published in Journal of High Energy Physics 2010(8) (Springer Nature) · 33 pages, 3 figures, LaTex; v2, references added; v3, more refs added; v4, refs added, minor corrections
arxiv created 2010/06/08 · openalex publication_date 2010/08/01 · arxiv updated 2010/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study charged dilaton black branes in AdS 4. Our system involves a dilaton ϕ coupled to a Maxwell field F μν with dilaton-dependent gauge coupling, \frac1g2 = f2( φ ) . First, we find the solutions for extremal and near extremal branes through a combination of analytical and numerical techniques. The near horizon geometries in the simplest cases, where f(ϕ) = e αϕ , are Lifshitz-like, with a dynamical exponent z determined by α. The black hole thermodynamics varies in an interesting way with α, but in all cases the entropy is vanishing and the specific heat is positive for the near extremal solutions. We then compute conductivity in these backgrounds. We find that somewhat surprisingly, the AC conductivity vanishes like ω 2 at T = 0 independent of α. We also explore the charged black brane physics of several other classes of gauge-coupling functions f(ϕ). In addition to possible applications in AdS/CMT, the extremal black branes are of interest from the point of view of the attractor mechanism. The near horizon geometries for these branes are universal, independent of the asymptotic values of the moduli, and describe generic classes of endpoints for attractor flows which are different from AdS 2 × R 2.