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AdS/CFT on the Brane

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From Gravity to Thermal Gauge Theories: The AdS/CFT Correspondence

Part of the book series: Lecture Notes in Physics ((LNP,volume 828))

Abstract

It is widely recognized that the AdS/CFT correspondence is a useful tool to study strongly coupled field theories. On the other hand, Randall-Sundrum (RS) braneworld models have been actively discussed as a novel cosmological framework. Interestingly, the geometrical set up of braneworlds is quite similar to that in the AdS/CFT correspondence. Hence, it is legitimate to seek a precise relation between these two different frameworks. In this lecture, I will explain how the AdS/CFT correspondence is related to the RS braneworld models. There are two different versions of RS braneworlds, namely, the single-brane model and the two-brane model. In the case of the single-brane model, we reveal the relation between the geometrical and the AdS/CFT correspondence approach using the gradient expansion method. It turns out that the high energy and the Weyl term corrections found in the geometrical approach correspond to the CFT matter correction found in the AdS/CFT correspondence approach. In the case of two-brane system, we also show that the AdS/CFT correspondence play an important role in the sense that the low energy effective field theory can be described by the conformally coupled scalar-tensor theory where the radion plays the role of the scalar field. We also discuss dilatonic braneworld models from the point of view of the AdS/CFT correspondence.

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Acknowledgments

I would like to thank Sugumi Kanno for collaborations on which this lecture is based and useful comments on the manuscript. I am grateful to the organizers of the 5th Aegean Summer school, especially Lefteris Papantonopoulos, for inviting me to give a lecture and their kind hospitality during the summer school. The present work is supported by the Japan-U.K. Research Cooperative Program, Grant-in-Aid for Scientific Research Fund of the Ministry of Education, Science and Culture of Japan No. 18540262, Grant-in-Aid for Scientific Research on Innovative Area No. 21111006 and the Grant-in-Aid for the Global COE Program “The Next Generation of Physics, Spun from Universality and Emergence”.

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  1. Department of Physics, Kyoto University, Kyoto, 606-8501, Japan

    Jiro Soda

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  1. Jiro Soda
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Correspondence to Jiro Soda .

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  1. Dept.Physics, National Technical University, Zografou Campus, Athens, 157 80, Greece

    Eleftherios Papantonopoulos

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Soda, J. (2011). AdS/CFT on the Brane. In: Papantonopoulos, E. (eds) From Gravity to Thermal Gauge Theories: The AdS/CFT Correspondence. Lecture Notes in Physics, vol 828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04864-7_8

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