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

Department of Business and Commerce

Research output: Contribution to conference › Paper › peer-review

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.

Original language	English
Publication status	Published - 2008 Dec 1
Event	18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 - Higashi-Hiroshima, Japan Duration: 2008 Nov 17 → 2008 Nov 21

Other

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

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Cite this

@conference{a323a818bcd5414795d99595745bf594,

title = "Phase transitions of charged kerr-ADS black holes from large-N gauge theories",

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.",

author = "Keiju Murata and Tatsuma Nishioka and Norihiro Tanahashi and Hikaru Yumisaki",

year = "2008",

month = dec,

day = "1",

language = "English",

note = "18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 ; Conference date: 17-11-2008 Through 21-11-2008",

}

TY - CONF

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.

UR - http://www.scopus.com/inward/record.url?scp=84888153112&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84888153112&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84888153112

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

Y2 - 17 November 2008 through 21 November 2008

ER -

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

Abstract

Other

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this