Holography of charged dilaton black holes

By K. Goldstein, S. Kachru, Shiroman Prakash, S. Trivedi. 2009

376 citations recorded by the source corpus.

We study charged dilaton black branes in AdS4. Our system involves a dilaton ϕ coupled to a 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 extremal branes through a combination of analytical and numerical techniques. The near horizon geometries in the simplest cases, where f(ϕ) = eαϕ, 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 ω2 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 AdS2 × R2.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a0812928ff9823ec454396b15ad0ef9a01379b7e

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Citations in the corpus

Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity (2011, background): “15) of [13] V (z) = ( f ′′ f + 16 ge−χ f 2 Q(2) r4 )”
Quantum criticality and holographic superconductors in M-theory (2009, background): “It is interesting to compare this class of charged black holes with those that were very recently constructed in a top down model in [24] and a phenomenological model in [25].”
Spatially modulated instabilities of magnetic black branes (2011, background): “Particular examples of these models have been considered in the context of AdS/CMT from a different point of view in [28, 29, 30].”
Lifshitz spacetimes from AdS null and cosmological solutions (2010, background): “stems e.g.[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12] with a view towards condensed matter physics are promising. In this paper, we discuss Lifshitz ﬁxed points from a holographic point of view: see e.g. [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28], for related work on systems with L”
Lectures on holographic non-Fermi liquids and quantum phase transitions (2011, background): “14) will no longer be a solution as φ will also be excited [97, 98].”
Charged magnetic brane solutions in AdS5 and the fate of the third law of thermodynamics (2009, background): “Another is that one should focus on alternative bulk theories where the extremal entropy vanishes, as discussed recently in the case of gauge fields coupled to massless scalars in [10].”
Semi-holographic Fermi liquids (2010, background): “the Lifshitz geometry in [20] is sourced by a charge density in the bulk.”
Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, background): “Recent studies of AdS completions of charged, spatially isotropic Lifshitz geometries include [83, 84, 85, 86, 87, 88, 89, 90].”
Black holes and black branes in Lifshitz spacetimes (2011, result): “It is an extension of the model considered in [25], and is similar to the models studied in [30, 31].”
Generalized holographic quantum criticality at finite density (2011, background): “The metric describes a Lifshitz spacetime as χ = 0, [15, 43, 4, 44].”
Holographic metals and insulators with helical symmetry (2014, background): “This will let us access the imaginary part of the IR Green’s function of these fields by the standard argument, [69, 70].”
Horizons, holography and condensed matter (2011, background): “ape landing at an AdS 2 R2 attractor point. Indeed it is found that the IR geometry of the dilaton theory (8.1), with an asymptotic electric ux, takes the Lifshitz form (6.4), with z>1 generically [69, 70]. The important dierence relative to (6.4) is that, as we anticipated, the dilaton is not co”
Holographic Quantum Matter (2016, methodology): “Two simple theories that have Lifshitz geometries (93) as solutions are Einstein-Maxwell-dilaton theory [289; 703] and Einstein-Proca theory [703].”
Wrapped M5-branes, consistent truncations and AdS/CMT (2010, background): “This latter feature indicates that there is some similarity with the bottom-up charged dilaton black holes studied in [14].”
Momentum relaxation in holographic massive gravity (2013, background): “A similar power law holds for many other holographic theories [65, 66].”
Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime (2009, methodology): “We will try instead the following scaling ansatz [ 22 ]”