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arXiv · 0806.2314

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

Keiju Murata·Tatsuma Nishioka·Norihiro Tanahashi·Hikaru Yumisaki
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Abstract

We study N =4 super Yang-Mills theories on a three sphere with two kinds of chemical potentials. One is associated with the R-symmetry and the other with the rotational symmetry of S^3 (SO(4) symmetry). These correspond to the 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 the dual gravity, we find such a gap in the phase diagram to study the thermodynamics of the charged Kerr-AdS black hole. This shows that the qualitative phase structures agree between the both sides. We also find that the ratio of the thermodynamical quantities is almost well-known factor 3/4 even at the low temperature.

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Keiju Murata, Tatsuma Nishioka, Norihiro Tanahashi, Hikaru Yumisaki. 2008-09-09. Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories. https://doi.org/10.1143/ptp.120.473

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