Chern-Simons effect on the dual hydrodynamics in the Maxwell-Gauss-Bonnet gravity

Physics – High Energy Physics – High Energy Physics - Theory

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15 pages, no figure. arXiv admin note: text overlap with arXiv:1103.3773

Scientific paper

Following our previous work, we give a more general and systematic discussion on the Chern-Simons effect on the dual hydrodynamics in the Maxwell-Gauss-Bonnet gravity via the fluid/gravity correspondence. By constructing the first order perturbative solutions in the 5-dimensional bulk spacetime, we extract the stress tensor and charge current of dual fluid. We find that, in the presence of the Chern-Simons term, the stress tensor remains the same as in our previous work, while new term appears in the charge current if the external background gauge field $A_{\mu}^{\text ext}$ exists. We also clarify several subtleties related to the Gauss-Bonnet gravity and the charge current.

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