Warped AdS5 black holes and dual CFTs

Keiju Murata, Tatsuma Nlshloka, Norihiro Tanahashi

研究成果: Article査読

11 被引用数 (Scopus)

抄録

We consider a black hole solution whose spatial boundary is a squashed three sphere in Einstein gravity with negative cosmological constant. We solve the Einstein equations numerically and find a warped AdS black hole solution with arbitrary squashing parameter. This solution becomes the ordinary AdS-Schwarzschild solution when the squashing parameter is chosen appropriately. Motivated by this fact, we study N = 4 super Yang-Mills theory with zero coupling constant on a squashed three sphere and show that the thermodynamical entropy of this theory roughly agrees with that of the warped AdS black hole up to a factor of 3/4. We also study the confinement/deconfinement transition of the gauge theory. We evaluate the approximate Hawking-Page transition temperature of the warped AdS black hole and find a qualitative agreement between the transition temperatures of the gravity and the gauge theory. These results suggest a duality between the warped AdS solution and N = 4 super Yang-Mills theory on a squashed three sphere.

本文言語English
ページ(範囲)941-957
ページ数17
ジャーナルProgress of Theoretical Physics
121
5
DOI
出版ステータスPublished - 2009 5

ASJC Scopus subject areas

  • 物理学および天文学(その他)

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