Peculiar properties of a charged dilatonic black hole in AdS 5

By S. Gubser, F. Rocha. 2009

285 citations recorded by the source corpus.

We study a charged dilatonic black hole in AdS{sub 5}, derived from a Lagrangian involving a gauge field whose kinetic term is modified by the exponential of a neutral scalar. This black hole has two properties which one might reasonably demand of the dual of a Fermi liquid: Its entropy is proportional to temperature at low temperature, and its extremal limit supports normal modes of massless, charged bulk fermions. The black hole we study has a simple analytic form because it can be embedded in type IIB string theory as the near-horizon limit of D3-branes with equal spins in two of the three independent transverse planes. Two further properties can be deduced from this embedding: There is a thermodynamic instability, reminiscent of ferromagnetism, at low temperatures; and there is an AdS{sub 3} factor in the extremal near-horizon geometry which accounts for the linear dependence of entropy on temperature. Altogether, it is plausible that the dilatonic black hole we study, or a relative of it with similar behavior in the infrared, is the dual of a Fermi liquid; however, the particular embedding in string theory that we consider is unlikely to have such a dual description, unless through some unexpected boson-fermionmore » equivalence at large N.« less

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a57f0bb3aa27196a8cd5af4c71e32505244da067

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Citations in the corpus

Towards strange metallic holography (2009, unknown): “One example of this setup was described in [59, 60], and others with interesting properties are under investigation [61, 62].”
Hidden Fermi surfaces in compressible states of gauge-gravity duality (2011, methodology): “In Section II we will recast the EMD theories [11, 13, 14, 19, 22, 23, 25] in a general context as realizations of the IR metric (1.”
Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime (2009, methodology): “The analysis of the fluctuations of fermionic fields in the AdS-RN [39–43] and in the charged dilaton black hole background [ 17 ] provides evidence for the existence of a Fermi surface in the boundary theory.”
Holographic Quantum Matter (2016, background): “Einstein-Maxwell theory with neutral scalars: Both of the next two examples are taken from [155; 316].”
Aspects of holography for theories with hyperscaling violation (2012, background): “[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21] (with very similar metrics also characterizing the “electron stars” studied in e.”
Holography of charged dilaton black holes (2009, background): “While this paper was being readied for submission, the papers [23, 24], which have some overlap in motivations with our work, appeared.”
Generalized holographic quantum criticality at finite density (2011, background): “13) describes correctly the nearhorizon region of the extremal black holes of [36, 37, 14], even though their potentials comprise more than one exponentials.”
On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes (2013, background): “Thus much interest has been focused on the study of the dilaton black holes in recent years[41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55].”
Semi-local quantum liquids (2011, background): “Instead, one finds a solution with zero entropy density and Lifshitz-type scaling in the interior (at T = 0) [36–39].”
Novel metals and insulators from holography (2014, background): “a geometry conformal to AdS2 × R2 which has been discussed as a framework for holographically studying semilocal quantum criticality [34, 35] (earlier work appeared in [49]).”
Planckian dissipation, minimal viscosity and the transport in cuprate strange metals (2018, background): “As it turns out, the θ/z = −1 example I just discussed which is called ”conformal to AdS2” [49] has such a ”top-down” identification [50] and it therefore represents a physical choice of scaling exponents.”
Effective holographic theories for low-temperature condensed matter systems (2010, background): “In particular, in U(1)s arising in the adjoint (closed string) sector Z diverges in the IR, [ 22 ], indicating that the charge sector is driven to zero coupling in the IR. On the other hand if the U(1) arises from the fundamental sector (open strings, D − ¯”
Holographic lattice in Einstein-Maxwell-dilaton gravity (2013, methodology): “Secondly, a linear dependence of the entropy and heat capacity on temperature at low temperature can be deduced [27, 30], which seemingly indicate that the dual field theory is Fermi-like [31–34].”
Quantum criticality and holographic superconductors in M-theory (2009, methodology): “For example, one can consistently set = 0 to obtain a theory of gravity coupled to a gauge eld A1 and a neutral scalar h, and we will nd black hole solutions of this theory (it is interesting to compare and contrast with the phenomenological models studied in [ 24 , 25]).”
Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity (2011, background): “Such a class of systems was explored in [12–14].”
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].”