Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-10-06
JHEP 1012:086,2010
Physics
High Energy Physics
High Energy Physics - Theory
46 pages, 1 appendix; v2: fixed typos
Scientific paper
10.1007/JHEP12(2010)086
We analyze the dynamics of a four-dimensional null hypersurface in a five-dimensional bulk spacetime with Einstein-Yang-Mills fields. In an appropriate ansatz, the projection of the field equations onto the hypersurface takes the form of conservation laws for relativistic hydrodynamics with global non-abelian charges. A Chern-Simons term in the bulk action corresponds to anomalies in the global charges, with a vorticity term arising in the hydrodynamics. We derive the entropy current and obtain unique expressions for some of the leading-order transport coefficients (in the abelian case, all of them) for arbitrary equations of state. As a special case and a concrete example, we discuss the event horizon of a boosted Einstein-Yang-Mills black brane in an asymptotically Anti-de-Sitter spacetime. The evolution equations in that case describe the hydrodynamic limit of a conformal field theory with anomalous global non-abelian charges on the Anti-de-Sitter boundary.
Eling Christopher
Neiman Yasha
Oz Yaron
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