Ohm's Law at strong coupling: S duality and the cyclotron resonance

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dc.creatorHartnoll, Sean A.
dc.creatorHerzog, Christopher P.
dc.date2007-06-22
dc.date2007-10-18
dc.date.accessioned2026-07-07T11:52:39Z
dc.date.available2026-07-07T11:52:39Z
dc.descriptionWe calculate the electrical and thermal conductivities and the thermoelectric coefficient of a class of strongly interacting 2+1 dimensional conformal field theories with anti-de Sitter space duals. We obtain these transport coefficients as a function of charge density, background magnetic field, temperature and frequency. We show that the thermal conductivity and thermoelectric coefficient are determined by the electrical conductivity alone. At small frequency, in the hydrodynamic limit, we are able to provide a number of analytic formulae for the electrical conductivity. A dominant feature of the conductivity is the presence of a cyclotron pole. We show how bulk electromagnetic duality acts on the transport coefficients.
dc.description23 pages, 11 figures, typos corrected and references added. Improved discussion of S duality
dc.identifierhttps://arxiv.org/abs/0706.3228
dc.identifierhttp://arxiv.org/abs/0706.3228
dc.identifierPhys.Rev.D76:106012,2007
dc.identifierdoi:10.1103/PhysRevD.76.106012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204261
dc.subjectHigh Energy Physics - Theory
dc.subjectStrongly Correlated Electrons
dc.titleOhm's Law at strong coupling: S duality and the cyclotron resonance
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