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Hydrodynamics from the D1-brane

David, Justin R and Mahato, Manavendra and Wadia, Spenta R (2009) Hydrodynamics from the D1-brane. In: Journal of High Energy Physics (4). JHEP04-1- JHEP04-32.

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Official URL: http://www.iop.org/EJ/abstract/1126-6708/2009/04/0...

Abstract

We study the hydrodynamic properties of strongly coupled SU(N) Yang-Mills theory of the D1-brane at finite temperature in the framework of gauge/gravity duality. The only non-trivial viscous transport coefficient in 1+1 dimensions is the bulk viscosity. We evaluate the bulk viscosity by isolating the quasi-normal mode corresponding to the sound channel for the gravitational background of the D1-brane. We find that the ratio of the bulk viscosity to the entropy density to be 1/4 pi. This ratio continues to be 1/4 pi also in the regime when the D1-brane Yang-Mills theory is dual to the gravitational background of the fundamental string. Our analysis shows that this ratio is equal to 1/4 pi for a class of gravitational backgrounds dual to field theories in 1+1 dimensions obtained by considering D1-branes at cones over Sasaki-Einstein 7-manifolds.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to Institute of Physics.
Keywords: Field Theories in Lower Dimensions;Gauge-gravity correspondence;Black Holes in String Theory;D-branes.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 12 Aug 2009 09:57
Last Modified: 19 Sep 2010 05:34
URI: http://eprints.iisc.ernet.in/id/eprint/20839

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