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arXiv · 0901.2574

Warped AdS_5 Black Holes and Dual CFTs

Keiju Murata·Tatsuma Nishioka·Norihiro Tanahashi
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Abstract

We consider a black hole solution whose spatial boundary is a squashed three sphere in Einstein gravity with negative cosmological constant. We solve the Einstein equations numerically and find a warped AdS black hole solution with arbitrary squashing parameter. This solution becomes the ordinary AdS-Schwarzschild solution when the squashing parameter is chosen appropriately. Motivated by this fact, we study N=4 super Yang-Mills theory with zero coupling constant on a squashed three sphere and show that the thermodynamical entropy of this theory roughly agrees with that of the warped AdS black hole up to a factor of 3/4. We also study the confinement/deconfinement transition of the gauge theory. We evaluate the approximate Hawking-Page transition temperature of the warped AdS black hole and find a qualitative agreement between the transition temperatures of the gravity and the gauge theory. These results suggest a duality between the warped AdS solution and N=4 super Yang-Mills theory on a squashed three sphere.

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Keiju Murata, Tatsuma Nishioka, Norihiro Tanahashi. 2009-04-26. Warped AdS_5 Black Holes and Dual CFTs. https://doi.org/10.1143/ptp.121.941

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