TY - JOUR
T1 - Holographic dual of de Sitter universe with AdS bubbles
AU - Kanno, Sugumi
AU - Sasaki, Misao
AU - Soda, Jiro
N1 - Funding Information:
We would like to thank Alex Vilenkin for fruitful discussions and Jaume Garriga for the initiation of this work and useful comments. S.K. was supported in part by grant PHY-0855447 from the National Science Foundation . This work was supported in part by the Grant-in-Aid for Scientific Research Fund of the Ministry of Education, Science and Culture of Japan No. 22540274 , the Grant-in-Aid for Scientific Research (A) (Nos. 21244033 , 22244030 ), the Grant-in-Aid for Scientific Research on Innovative Area No. 21111006 , JSPS under the Japan–Russia Research Cooperative Program, the Grant-in-Aid for the Global COE Program “The Next Generation of Physics, Spun from Universality and Emergence” , and by Korea Institute for Advanced Study under the KIAS Scholar program.
PY - 2012/2/11
Y1 - 2012/2/11
N2 - We study the proposal that a de Sitter (dS) universe with an Anti-de Sitter (AdS) bubble can be replaced by a dS universe with a boundary CFT. To explore this duality, we consider incident gravitons coming from the dS universe through the bubble wall into the AdS bubble in the original picture. In the dual picture, this process has to be identified with the absorption of gravitons by CFT matter. We have obtained a general formula for the absorption probability in general d+1 spacetime dimensions. The result shows the different behavior depending on whether spacetime dimensions are even or odd. We find that the absorption process of gravitons from the dS universe by CFT matter is controlled by localized gravitons (massive bound state modes in the Kaluza-Klein decomposition) in the dS universe. The absorption probability is determined by the effective degrees of freedom of the CFT matter and the effective gravitational coupling constant which encodes information of localized gravitons. We speculate that the dual of (d+1)-dimensional dS universe with an AdS bubble is also dual to a d-dimensional dS universe with CFT matter.
AB - We study the proposal that a de Sitter (dS) universe with an Anti-de Sitter (AdS) bubble can be replaced by a dS universe with a boundary CFT. To explore this duality, we consider incident gravitons coming from the dS universe through the bubble wall into the AdS bubble in the original picture. In the dual picture, this process has to be identified with the absorption of gravitons by CFT matter. We have obtained a general formula for the absorption probability in general d+1 spacetime dimensions. The result shows the different behavior depending on whether spacetime dimensions are even or odd. We find that the absorption process of gravitons from the dS universe by CFT matter is controlled by localized gravitons (massive bound state modes in the Kaluza-Klein decomposition) in the dS universe. The absorption probability is determined by the effective degrees of freedom of the CFT matter and the effective gravitational coupling constant which encodes information of localized gravitons. We speculate that the dual of (d+1)-dimensional dS universe with an AdS bubble is also dual to a d-dimensional dS universe with CFT matter.
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U2 - 10.1016/j.nuclphysb.2011.10.020
DO - 10.1016/j.nuclphysb.2011.10.020
M3 - Article
AN - SCOPUS:80455127369
VL - 855
SP - 361
EP - 387
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 2
ER -