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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Cited by in corpus (7)

• Analytic topological hairy dyonic black holes and thermodynamics
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
• Thermoelectric Transport in Holographic Quantum Matter under Shear Strain
• Rindler Fluid with Weak Momentum Relaxation
• Duality and modular symmetry in the quantum Hall effect from Lifshitz holography
• A renormalisation group equation for transport co-efficients in (2+1)-dimensions derived from the AdS/CMT correspondence