2008/09/30 by Jin Hur, Kyung Kiu Kim, Sang-Jin Sin · 33 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Boundary (topology) #Classical mechanics #Conservation law #Conserved current #Conserved quantity #Cosmology and Gravitation Theories #Current (fluid) #Duality (order theory) #Electromagnetic field #Gauge (firearms) #Geometry #Lagrangian #Lorentz transformation #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Noether's theorem #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Quantum mechanics #Tensor (intrinsic definition) #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/03/036
published in Journal of High Energy Physics 2009(03), 036 (Springer Nature) · 16 pages, 1 figures, corrected typos, references and Appendices added
arxiv created 2008/10/07 · openalex publication_date 2009/03/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We determine the structure of the hydrodynamics with conserved current, using the gauge/gravity duality of charged black-hole background. It turns out that even in the presence of the external electromagnetic field at the boundary, bulk Einstein equation is equivalent to the boundary conservation of energy momentum tensor and that of current. As a consequence, the thermal conductivity and electric conductivity are calculated in terms of the parameters of the fundamental theory. We find that Wiedermann-Franz law hold with Lorentz number 1/e2