Phase transitions of charged Kerr-AdS black holes from large-N gauge theories

Keiju Murata, Tatsuma Nishioka, Norihiro Tanahashi, Hikaru Yumisaki

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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. We also find that the ratio between the thermodynamical quantities is close to well-known factor of 3/4 even at low temperatures.

Original languageEnglish
Pages (from-to)473-508
Number of pages36
JournalProgress of Theoretical Physics
Volume120
Issue number3
DOIs
Publication statusPublished - 2008 Sep
Externally publishedYes

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

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

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

In: Progress of Theoretical Physics, Vol. 120, No. 3, 09.2008, p. 473-508.

Research output: Contribution to journalArticle

Murata, Keiju ; Nishioka, Tatsuma ; Tanahashi, Norihiro ; Yumisaki, Hikaru. / Phase transitions of charged Kerr-AdS black holes from large-N gauge theories. In: Progress of Theoretical Physics. 2008 ; Vol. 120, No. 3. pp. 473-508.
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