Holographic electrical and thermal conductivity in strongly coupled gauge theory with multiple chemical potentials

Abstract

We study transport coefficients of strongly coupled gauge theory in the presence of multiple chemical potential which are dual to rotating D3, M2 and M5 brane. Using the general form of the perturbation equations, we compute DC-electrical conductivity at finite temperature as well as at zero temperature. We also study thermal conductivity for the same class of black holes and show that thermal conductivity and viscosity obeys Wiedemann-Franz like law even in the presence of multiple chemical potential.

30 pages,No figures, typos corrected, section 8 rewritten, close to published version

References in corpus (15)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Zero Temperature Limit of Holographic Superconductors
• Holographic Hydrodynamics with a Chemical Potential
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Large rotating AdS black holes from fluid mechanics
• Holographic conductivity of zero temperature superconductors
• On Charged Lifshitz Black Holes
• Extremal Static AdS Black Hole/CFT Correspondence in Gauged Supergravities
• Transport coefficients, membrane couplings and universality at extremality
• Transport Coefficients at Zero Temperature from Extremal Black Holes
• Density Dependence of Transport Coefficients from Holographic Hydrodynamics
• Non-relativistic metrics with extremal limits
• Viscosity to entropy ratio at extremality
• Notes on R-charged black holes near criticality and gauge theory

Cited by in corpus (16)

• Semi-Holographic Fermi Liquids
• Transport coefficients of a hot QCD medium and their relative significance in heavy-ion collisions
• STU/QCD Correspondence
• Transport coefficients of the quark-gluon plasma at the critical point and across the first-order line
• Universal thermal and electrical conductivity from holography
• Proof of universality of electrical conductivity at finite chemical potential
• Holography of Charged Black Holes with $R{F}^2$ Corrections
• Universal properties of thermal and electrical conductivity of gauge theory plasmas from holography
• New Insights into Properties of Large-N Holographic Thermal QCD at Finite Gauge Coupling at (the Non-Conformal/Next-to) Leading Order in N
• Holographic superconductor in a deformed four-dimensional STU model
• Holographic RG flows and transport coefficients in Einstein-Gauss-Bonnet-Maxwell theory
• Holography and hydrodynamics for EMD theory with two Maxwell fields
• Sum rules and three point functions
• Demystifying the Holographic Mystique
• Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale
• Drude weight and Mazur-Suzuki bounds in holography