Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories(Particles and Fields)
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概要
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We study N=4 super Yang-Mills theories on a three-sphere with two types of chemical potential. One is associated with the R-symmetry and the other with the rotational symmetry of S^3 (SO (4) symmetry). These correspond to charged Kerr-AdS black holes via AdS/CFT. The exact partition functions at zero coupling are computed and the thermodynamical properties are studied. We find a nontrivial gap between the confinement/deconfinement transition line and the boundary of the phase diagram when we include more than four chemical potentials. In dual gravity, we find such a gap in the phase diagram by studying the thermodynamics of the charged Kerr-AdS black hole. This shows that the qualitative phase structures agree between both theories. We also find that the ratio between the thermodynamical quantities is close to well-known factor of 3/4 even at low temperatures.
- 理論物理学刊行会の論文
- 2008-09-25
著者
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Murata Keiju
Kyoto Univ. Kyoto Jpn
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Murata Keiju
Department Of Physics Kyoto University
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NISHIOKA Tatsuma
Department of Physics, Kyoto University
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TANAHASHI Norihiro
Department of Physics, Kyoto University
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YUMISAKI Hikaru
Department of Physics, Kyoto University
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Yumisaki Hikaru
Department Of Physics Kyoto University
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Nishioka Tatsuma
Department Of Physics Kyoto University
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Tanahashi Norihiro
Department Of Physics Kyoto University
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TANAHASHI Norihiro
Department of Physics, University of California, Davis
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