Chiral vortical effect from the compactified D4-branes with smeared D0-brane charge

Abstract

By using the boundary derivative expansion formalism of fluid/gravity correspondence, we study the chiral vortical effect from the compactified D4-branes with smeared D0-brane charge. This background corresponds to a strongly coupled, nonconformal relativistic fluid with a conserved vector current. The presence of the chiral vortical effect is induced by the addition of a Chern-Simons term in the bulk action. Except that the non-dissipative anomalous viscous coefficient and the sound speed rely only on the chemical potential, most of the other thermal and hydrodynamical quantities of the first order depend both on the temperature and the chemical potential. According to our result, the way that the chiral vortical effect coefficient depends on the chemical potential seems irrelevant with whether the relativistic fluid is conformal or not. Stability analysis shows that this anomalous relativistic fluid is stable and the doping of the smeared D0-brane charge will slow down the sound speed.

30 pages, 1 table

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• Perturbation solutions of relativistic viscous hydrodynamics for longitudinally expanding fireballs
• The D4/D8 model and holographic QCD
• Electromagnetic instability and Schwinger effect in the Witten-Sakai-Sugimoto model with D0-D4 background
• Sound waves in the compactified D0-D4 brane system
• Holographic three flavor baryon in the Witten-Sakai-Sugimoto model with the D0-D4 background
• Second order transport coefficients of nonconformal fluids from compactified Dp-branes
• The worldvolume fermion as baryon in holographic QCD with instanton
• Compactified AdS black holes, Chamblin-Reall background, and their dual non-conformal relativistic fluids