DC conductivity and higher derivative gravity

Donos, Aristomenis; Gauntlett, Jerome P.; Griffin, Tom; Melgar, Luis

doi:10.1088/1361-6382/aa744a

DC conductivity and higher derivative gravity

Donos, Aristomenis; Gauntlett, Jerome P.; Griffin, Tom; Melgar, Luis

Authors

Dr Aristomenis Donos aristomenis.donos@durham.ac.uk
Associate Professor

Jerome P. Gauntlett

Tom Griffin

Luis Melgar

Abstract

For Gauss–Bonnet gravity and in the context of holography we show how the thermal DC conductivity can be obtained by solving a generalised system of Stokes equations for an auxiliary fluid on a curved black hole horizon. For more general higher derivative theories of gravity coupled to gauge-fields, we also analyse the linearised thermal and electric currents that are produced by DC thermal and electric sources. We show how suitably defined DC transport current fluxes of the dual field theory are given by current fluxes defined at the black horizon.

Citation

Donos, A., Gauntlett, J. P., Griffin, T., & Melgar, L. (2017). DC conductivity and higher derivative gravity. Classical and Quantum Gravity, 34(13), Article 135015. https://doi.org/10.1088/1361-6382/aa744a

Journal Article Type	Article
Acceptance Date	May 19, 2017
Online Publication Date	Jun 15, 2017
Publication Date	Jun 15, 2017
Deposit Date	Jul 5, 2017
Publicly Available Date	Jun 15, 2018
Journal	Classical and Quantum Gravity
Print ISSN	0264-9381
Electronic ISSN	1361-6382
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	34
Issue	13
Article Number	135015
DOI	https://doi.org/10.1088/1361-6382/aa744a
Related Public URLs	http://arxiv.org/pdf/1701.01389.pdf

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Copyright Statement
This is an author-created, un-copyedited version of an article published in Classical and quantum gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/1361-6382/aa744a