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
Externally publishedYes
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

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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    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.