Holography of dyonic dilaton black branes

By K. Goldstein, Norihiro Iizuka, S. Kachru, Shiroman Prakash, S. Trivedi, A. Westphal. 2010

225 citations recorded by the source corpus.

We study black branes carrying both electric and magnetic charges in Einstein-Maxwell theory coupled to a dilaton-axion in asymptotically anti de Sitter space. After reviewing and extending earlier results for the case of electrically charged branes, we characterise the thermodynamics of magnetically charged branes. We then focus on dyonic branes in theories which enjoy an SL(2,R) electric-magnetic duality. Using SL(2,R), we are able to generate solutions with arbitrary charges starting with the electrically charged solution, and also calculate transport coefficients. These solutions all exhibit a Lifshitz-like near-horizon geometry. The system behaves as expected for a charged fluid in a magnetic field, with non-vanishing Hall conductance and vanishing DC longitudinal conductivity at low temperatures. Its response is characterised by a cyclotron resonance at a frequency proportional to the magnetic field, for small magnetic fields. Interestingly, the DC Hall conductance is related to the attractor value of the axion. We also study the attractor flows of the dilaton-axion, both in cases with and without an additional modular-invariant scalar potential. The flows exhibit intricate behaviour related to the duality symmetry. Finally, we briefly discuss attractor flows in more general dilaton-axion theories which do not enjoy SL(2,R) symmetry.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/97c4ecfcc8a7a72ed91749361e935faf03d08f49

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Citations in the corpus

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].”
Generalized holographic quantum criticality at finite density (2011, unknown): “The metric describes a Lifshitz spacetime as χ = 0, [15, 43, 4, 44].”
Electron stars for holographic metallic criticality (2010, unknown): “Namely, that there are two reasons why the ω2 conductivity (which will presumably translate into a T 2 low temperature dependence of the DC conductivity as in [57]) should not be taken overly seriously as an ‘experimental’ feature of this model.”
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.”
Holographic Quantum Matter (2016, methodology): “For a discussion of how the physics described above generalizes to Einstein-Maxwell-dilaton theories, see [288; 506].”
Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity (2011, methodology): “Our discussion follows [13] §3 and [14] §3 closely, we omit some details.”
Quantum critical lines in holographic phases with (un)broken symmetry (2012, background): “In the strong coupling case one should include the corrections (as in [35]).”
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].”
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.”