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

Keiju Murata, Tatsuma Nishioka, Norihiro Tanahashi, Hikaru Yumisaki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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
Title of host publicationProceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008
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

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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. In Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008

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

Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008. 2008.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Murata, K, Nishioka, T, Tanahashi, N & Yumisaki, H 2008, Phase transitions of charged kerr-ADS black holes from large-N gauge theories. in Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008. 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008, Higashi-Hiroshima, Japan, 11/17/08.
Murata K, Nishioka T, Tanahashi N, Yumisaki H. Phase transitions of charged kerr-ADS black holes from large-N gauge theories. In Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008. 2008
Murata, Keiju ; Nishioka, Tatsuma ; Tanahashi, Norihiro ; Yumisaki, Hikaru. / Phase transitions of charged kerr-ADS black holes from large-N gauge theories. Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008. 2008.
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