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Warped AdS_5 Black Holes and Dual CFTs | Keiju Murata
; Tatsuma Nishioka
; Norihiro Tanahashi
; | Date: |
19 Jan 2009 | Abstract: | 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 become 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 agrees with that of the warped AdS black
hole roughly 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
SYM on a squashed three sphere. | Source: | arXiv, 0901.2574 | Services: | Forum | Review | PDF | Favorites |
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