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

Keiju Murata, Tatsuma Nishioka, Norihiro Tanahashi, Hikaru Yumisaki

Research output: Contribution to conferencePaper

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 languageEnglish
Publication statusPublished - Dec 1 2008
Event18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 - Higashi-Hiroshima, Japan
Duration: Nov 17 2008Nov 21 2008

Other

Other18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008
CountryJapan
CityHigashi-Hiroshima
Period11/17/0811/21/08

Fingerprint

gauge theory
symmetry
phase diagrams
Yang-Mills theory
partitions
gravitation
thermodynamics

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Murata, K., Nishioka, T., Tanahashi, N., & Yumisaki, H. (2008). 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.

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

2008. Paper presented at 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008, Higashi-Hiroshima, Japan.

Research output: Contribution to conferencePaper

Murata, K, Nishioka, T, Tanahashi, N & Yumisaki, H 2008, '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, 11/17/08 - 11/21/08, .
Murata K, Nishioka T, Tanahashi N, Yumisaki H. Phase transitions of charged kerr-ADS black holes from large-N gauge theories. 2008. Paper presented at 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008, Higashi-Hiroshima, Japan.
Murata, Keiju ; Nishioka, Tatsuma ; Tanahashi, Norihiro ; Yumisaki, Hikaru. / 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.
@conference{11f760ddb80f44edb9570829e3971d53,
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 = "12",
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

ER -