Anisotropic Dyonic Black Brane and its Effects on Hydrodynamics
Abstract
We construct SL(2,R) invariant in anisotropic medium, with a dual anisotropic charged black hole geometry in massive gravity. We show how to obtain SL(2,R) elements in terms of new degrees of freedom for Electromagnetic configuration, and construct the general expressions for conductivity with SL(2,R) invariant. The holographic conductivities can be calculated using horizon data in an external magnetic field, and we show the numerical results using the linear response theory.
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