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Hyperscaling violating geometry with magnetic field and DC conductivity. (English) Zbl 1405.83034

Summary: We consider black hole with magnetic field in hyperscaling violating Lifshitz theories arised in a four dimensional Einstein-Maxwell-dilaton system along with axion fields. Considering the linearised equation of relevant fluctuations in metric and gauge fields, we analytically compute thermoelectric conductivity of the dual theory using Dirichlet boundary condition and find agreement with conductivities obtained in near horizon analysis. We also study temperature dependence of the conductivities.

MSC:

83C57 Black holes
83C22 Einstein-Maxwell equations
83C45 Quantization of the gravitational field
83F05 Relativistic cosmology
82C70 Transport processes in time-dependent statistical mechanics

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