## 抄録

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.

本文言語 | 英語 |
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出版ステータス | 出版済み - 12 1 2008 |

外部発表 | はい |

イベント | 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 - Higashi-Hiroshima, 日本 継続期間: 11 17 2008 → 11 21 2008 |

### その他

その他 | 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 |
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国/地域 | 日本 |

City | Higashi-Hiroshima |

Period | 11/17/08 → 11/21/08 |

## All Science Journal Classification (ASJC) codes

- 原子分子物理学および光学