Thermoelectric DC conductivities and Stokes flows on black hole horizons
File(s)
Published version
Published version
Author(s)
Banks, E
Donos, A
Gauntlett, JP
Type
Journal Article
Abstract
We consider a general class of electrically charged black holes of EinsteinMaxwell-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.
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.
Date Issued
2015-10-15
Date Acceptance
2015-09-16
Citation
Journal of High Energy Physics, 2015, 2015 (10)
ISSN
1126-6708
Publisher
Springer
Journal / Book Title
Journal of High Energy Physics
Volume
2015
Issue
10
Copyright Statement
Open Access, © The Authors.
Article funded by SCOAP3
Article funded by SCOAP3
License URL
Subjects
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Gauge-gravity correspondence
Black Holes in String Theory
AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
Publication Status
Published
Article Number
103