Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories
Autor: | Tatsuma Nishioka, Hikaru Yumisaki, Keiju Murata, Norihiro Tanahashi |
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Rok vydání: | 2008 |
Předmět: |
High Energy Physics - Theory
Physics Phase transition Physics and Astronomy (miscellaneous) Rotational symmetry FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Deconfinement General Relativity and Quantum Cosmology Symmetry (physics) Black hole High Energy Physics - Theory (hep-th) Quantum mechanics Phase (matter) Gauge theory Phase diagram |
Zdroj: | Progress of Theoretical Physics. 120:473-508 |
ISSN: | 1347-4081 0033-068X |
Popis: | 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. 40 pages, 6 figures, v2: references added, v3: typos corrected and references added |
Databáze: | OpenAIRE |
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