Phase transitions of charged kerr-ADS black holes from large-N gauge theories

Keiju Murata; Tatsuma Nishioka; Norihiro Tanahashi; Hikaru Yumisaki

Phase transitions of charged kerr-ADS black holes from large-N gauge theories

Keiju Murata, Tatsuma Nishioka, Norihiro Tanahashi, Hikaru Yumisaki

商学科

研究成果: Paper › 査読

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 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.

本文言語	English
出版ステータス	Published - 2008 12 1
イベント	18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 - Higashi-Hiroshima, Japan 継続期間: 2008 11 17 → 2008 11 21

Other

Other	18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008
Country	Japan
City	Higashi-Hiroshima
Period	08/11/17 → 08/11/21

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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引用スタイル

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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 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.",

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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 - 2008/12/1

Y1 - 2008/12/1

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.

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.

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T2 - 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008

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