Chern-Simons term in holographic hydrodynamics of charged AdS black hole

We study the effects of the Chern-Simons term in the hydrodynamics of the five-dimensional Reissner-Nordstrom-AdS background. We work out the decoupling problem of the equations of motion and calculate the retarded Green functions explicitly. We then find that the Chern-Simons term induces the magnetic conductivity caused by the anomaly effect. It is increasing function of temperature running from a non-zero value at zero temperature to the twice the value at infinite temperature.We would like to thank Kwang-Hyun Jo, Masaki Murata, Tatsuhiro Misumi, Shin Nakamura, Ho-Ung Yee and members of Friday Meeting in CQUeST. The work of SJS was supported in part by KOSEF Grant R01-2007-000-10214-0 and SRC Program of the NRF through the CQUeST with grant number 2005-0049409. TT acknowledges the Max Planck Society (MPG), the Korea Ministry of Education, Science and Technology (MEST) and POSTECH for the support of the Independent Junior Research Group at APCTP