Holographic chiral shear waves from anomaly

Details Holographic chiral shear waves from anomaly Holographic chiral shear waves from anomaly

2009-10-30

arxiv.org/abs/0910.5915v1

Phys.Lett.B689:206-212,2010

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1016/j.physletb.2010.04.076

We study dispersion relations of hydrodynamic waves of hot N=4 SYM plasma at strong coupling with a finite U(1) R-charge chemical potential via holography. We first provide complete equations of motion of linearized fluctuations out of a charged AdS black-hole background according to their helicity, and observe that helicity +1 and -1 transverse shear modes receive a new parity-odd contribution from the 5D Chern-Simons term, which is dual to 4D U(1)^3 anomaly. We present a systematic solution of the helicity +1,-1 wave equations in long wave-length expansion, and obtain the corresponding dispersion relations. The results depend on the sign of helicity, which may be called chiral shear waves.

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