Document details

Conductivities from attractors

Author(s): Erdmenger, Johanna ; Fernández, Daniel ; Goulart, Prieslei [UNESP] ; Witkowski, Piotr

Date: 2018

Persistent ID: http://hdl.handle.net/11449/174423

Origin: Oasisbr

Subject(s): AdS-CFT Correspondence; Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT); AdS-CFT Correspondence; AdS-CFT Correspondence; Gauge-gravity correspondence; Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT); Holography and condensed matter physics (AdS/CMT)


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In the context of applications of the AdS/CFT correspondence to condensed matter physics, we compute conductivities for field theory duals of dyonic planar black holes in 3+1-dimensional Einstein-Maxwell-dilaton theories at zero temperature. We combine the near-horizon data obtained via Sen’s entropy function formalism with known expressions for conductivities. In this way we express the conductivities in terms of the extremal black hole charges. We apply our approach to three different examples for dilaton theories for which the background geometry is not known explicitly. For a constant scalar potential, the thermoelectric conductivity explicitly scales as αxy ∼ N3/2, as expected. For the same model, our approach yields a finite result for the heat conductivity κ/T ∝ N3/2 even for T → 0.

Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6

Institut für Theoretische Physik und Astrophysik Julius-Maximilians-Universität Würzburg, Am Hubland

Science Institute University of Iceland, Dunhaga 3

Instituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II

Instituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II

Document Type Journal article
Language English
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