Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories

被引：11
作者：
Murata, Keiju [1 ]
Nishioka, Tatsuma [1 ]
Tanahashi, Norihiro [1 ]
Yumisaki, Hikaru [1 ]
机构：
[1] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan
来源：
PROGRESS OF THEORETICAL PHYSICS | 2008年 / 120卷 / 03期
关键词：
D O I：
10.1143/PTP.120.473
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study V = 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.
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页码：473 / 508
页数：36
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