Warped AdS5 Black Holes and Dual CFTs
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Publication:3392526
DOI10.1143/PTP.121.941zbMATH Open1171.83336arXiv0901.2574MaRDI QIDQ3392526
Author name not available (Why is that?)
Publication date: 17 August 2009
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/0901.2574
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