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Thermoelectric DC conductivities and Stokes flows on black hole horizons

Banks, E.; Donos, A.; Gauntlett, J.P.

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Authors

E. Banks

J.P. Gauntlett



Abstract

We consider a general class of electrically charged black holes of Einstein-Maxwell-scalar theory that are holographically dual to conformal field theories at finite charge density which break translation invariance explicitly. We examine the linearised perturbations about the solutions that are associated with the thermoelectric DC conductivity. We show that there is a decoupled sector at the black hole horizon which must solve generalised Stokes equations for a charged fluid. By solving these equations we can obtain the DC conductivity of the dual field theory. For Q-lattices and one-dimensional lattices we solve the fluid equations to obtain closed form expressions for the DC conductivity in terms of the solution at the black hole horizon. We also determine the leading order DC conductivity for lattices that can be expanded as a perturbative series about translationally invariant solutions.

Citation

Banks, E., Donos, A., & Gauntlett, J. (2015). Thermoelectric DC conductivities and Stokes flows on black hole horizons. Journal of High Energy Physics, 2015(10), Article 103. https://doi.org/10.1007/jhep10%282015%29103

Journal Article Type Article
Acceptance Date Sep 16, 2015
Online Publication Date Oct 15, 2015
Publication Date Oct 15, 2015
Deposit Date Jan 2, 2016
Publicly Available Date Mar 28, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2015
Issue 10
Article Number 103
DOI https://doi.org/10.1007/jhep10%282015%29103

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open Access, © The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





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