### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 473-508 |

Number of pages | 36 |

Journal | Progress of Theoretical Physics |

Volume | 120 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2008 Sep |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Progress of Theoretical Physics*,

*120*(3), 473-508. https://doi.org/10.1143/PTP.120.473

**Phase transitions of charged Kerr-AdS black holes from large-N gauge theories.** / Murata, Keiju; Nishioka, Tatsuma; Tanahashi, Norihiro; Yumisaki, Hikaru.

Research output: Contribution to journal › Article

*Progress of Theoretical Physics*, vol. 120, no. 3, pp. 473-508. https://doi.org/10.1143/PTP.120.473

}

TY - JOUR

T1 - Phase transitions of charged Kerr-AdS black holes from large-N gauge theories

AU - Murata, Keiju

AU - Nishioka, Tatsuma

AU - Tanahashi, Norihiro

AU - Yumisaki, Hikaru

PY - 2008/9

Y1 - 2008/9

N2 - 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 S3 (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.

AB - 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 S3 (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.

UR - http://www.scopus.com/inward/record.url?scp=58049174439&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=58049174439&partnerID=8YFLogxK

U2 - 10.1143/PTP.120.473

DO - 10.1143/PTP.120.473

M3 - Article

AN - SCOPUS:58049174439

VL - 120

SP - 473

EP - 508

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 3

ER -