Warped AdS_5 Black Holes and Dual CFTs(Particles and Fields)

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概要

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• 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.

• 理論物理学刊行会の論文
• 2009-05-25

著者

• Murata Keiju

  Kyoto Univ. Kyoto Jpn

• Murata Keiju

  Department Of Physics Kyoto University

• NISHIOKA Tatsuma

  Department of Physics, Kyoto University

• TANAHASHI Norihiro

  Department of Physics, Kyoto University

• Nishioka Tatsuma

  Department Of Physics Kyoto University

• Tanahashi Norihiro

  Department Of Physics Kyoto University

• TANAHASHI Norihiro

  Department of Physics, University of California, Davis

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• Warped AdS_5 Black Holes and Dual CFTs(Particles and Fields)
• Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories(Particles and Fields)
• Black Holes in Braneworld Models(Chapter 8,Higher Dimensional Black Holes)
• The Chiral Heat Effect(Particles and Fields)

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