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

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dc.creatorMurata, Keiju
dc.creatorNishioka, Tatsuma
dc.creatorTanahashi, Norihiro
dc.creatorYumisaki, Hikaru
dc.date2008-06-13
dc.date2008-09-09
dc.date.accessioned2026-07-07T12:14:44Z
dc.date.available2026-07-07T12:14:44Z
dc.descriptionWe 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.
dc.description40 pages, 6 figures, v2: references added, v3: typos corrected and references added
dc.identifierhttps://arxiv.org/abs/0806.2314
dc.identifierhttp://arxiv.org/abs/0806.2314
dc.identifierProg.Theor.Phys.120:473-508,2008
dc.identifierdoi:10.1143/PTP.120.473
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211294
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titlePhase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories
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