Universal properties of thermal and electrical conductivity of gauge theory plasmas from holography

Abstract

We propose that for conformal field theories admitting gravity duals, the thermal conductivity is fixed by the central charges in a universal manner. Though we do not have a proof as yet, we have checked our proposal against several examples. This proposal, if correct, allows us to express electrical conductivity in terms of thermodynamical quantities even in the presence of chemical potential.

13 pages, appendix added, close to journal version

References in corpus (9)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Density Dependence of Transport Coefficients from Holographic Hydrodynamics
• Dynamic critical phenomena in the AdS/CFT duality
• Holographic electrical and thermal conductivity in strongly coupled gauge theory with multiple chemical potentials
• Notes on R-charged black holes near criticality and gauge theory
• Universal relations of transport coefficients from holography

Cited by in corpus (11)

• Holographic Fermi and Non-Fermi Liquids with Transitions in Dilaton Gravity
• Transport coefficients of a hot QCD medium and their relative significance in heavy-ion collisions
• STU/QCD Correspondence
• 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
• DC conductivity with external magnetic field in hyperscaling violating geometry
• R-Charged Black Holes and Holographic Optics
• Demystifying the Holographic Mystique
• RG flow of AC Conductivity in Soft Wall Model of QCD
• Holographic conductivity of 1+1 dimensional systems in soft wall model