### 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.

Original language | English |
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Publication status | Published - Dec 1 2008 |

Externally published | Yes |

Event | 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 - Higashi-Hiroshima, Japan Duration: Nov 17 2008 → Nov 21 2008 |

### Other

Other | 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 |
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Country | Japan |

City | Higashi-Hiroshima |

Period | 11/17/08 → 11/21/08 |

### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

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## Cite this

*Phase transitions of charged kerr-ADS black holes from large-N gauge theories*. Paper presented at 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008, Higashi-Hiroshima, Japan.