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Magnetic Brane Solutions in AdS

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arxiv 0908.3875 v3 pith:NS5YTK2L submitted 2009-08-26 hep-th

Magnetic Brane Solutions in AdS

classification hep-th
keywords solutionstheoryentropyhorizonmagneticneartemperaturetimes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We construct asymptotically AdS_5 solutions of Einstein-Maxwell theory dual to N=4 SYM theory on R^{3,1} in the presence of a background magnetic field. The solutions interpolate between AdS_5 and a near horizon AdS_3\times T^2. The central charge of the near horizon region, and hence low temperature entropy of the solution, is found to be \sqrt{4\over 3} times that of free N=4 SYM theory. The entropy vanishes at zero temperature. We also present the generalization of these solutions to arbitrary spacetime dimensionality.

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