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@article{Donos:2017:10.1007/JHEP07(2017)006,
author = {Donos, A and Gauntlett, JP and Griffin, T and Lohitsiri, N and Melgar, L},
doi = {10.1007/JHEP07(2017)006},
journal = {Journal of High Energy Physics},
title = {Holographic DC conductivity and Onsager relations},
url = {http://dx.doi.org/10.1007/JHEP07(2017)006},
volume = {2017},
year = {2017}
}

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TY  - JOUR
AB  - Within holography the DC conductivity can be obtained by solving a system of Stokes equations for an auxiliary fluid living on the black hole horizon. We show that these equations can be derived from a novel variational principle involving a functional that depends on the fluid variables of interest as well as the time reversed quantities. This leads to simple derivation of the Onsager relations for the conductivity. We also obtain the relevant Stokes equations for bulk theories of gravity in four dimensions including a ϑF ∧ F term in the Lagrangian, where ϑ is a function of dynamical scalar fields. We discuss various realisations of the anomalous Hall conductivity that this term induces and also solve the Stokes equations for holographic lattices which break translations in one spatial dimension.
AU  - Donos,A
AU  - Gauntlett,JP
AU  - Griffin,T
AU  - Lohitsiri,N
AU  - Melgar,L
DO  - 10.1007/JHEP07(2017)006
PY  - 2017///
SN  - 1029-8479
TI  - Holographic DC conductivity and Onsager relations
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/JHEP07(2017)006
UR  - http://hdl.handle.net/10044/1/51361
VL  - 2017
ER  -

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