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Four-dimensional conformal supergravity from AdS space

Balasubramanian, Vijay and Gimon, Eric and Minic, Djordje and Rahmfeld, Joachim (2001) Four-dimensional conformal supergravity from AdS space. Physical Review D, 63 (10). Art. no. 104009. ISSN 2470-0010. doi:10.1103/PhysRevD.63.104009.

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Exploring the role of conformal theories of gravity in string theory, we show that the minimal (N=2) gauged supergravities in five dimensions induce the multiplets and transformations of N=1 four-dimensional conformal supergravity on the spacetime boundary. N=1 Poincaré supergravity can be induced by explicitly breaking the conformal invariance via a radial cutoff in the 5D space. The AdS/CFT correspondence relates the maximal gauged supergravity in five dimensions to N=4 super Yang-Mills theory on the 4D spacetime boundary. In this context we show that the conformal anomaly of the gauge theory induces conformal gravity on the boundary of the space and that this theory, via the renormalization group, encapsulates the gravitational dynamics of the skin of asymptotically AdS spacetimes. Our results have several applications to the AdS/CFT correspondence and the Randall-Sundrum scenario.

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Additional Information:©2001 The American Physical Society Received 9 August 2000; published 12 April 2001 We have enjoyed discussions with R. Corrado, B. de Wit, J. de Boer, P. Horˇava, H. Ooguri, K. Pilch, L. Randall, S. Rey, K. Sfetsos, K. Stelle, E. Witten and especially A. Tseytlin. V.B. was supported by the Harvard Society of Fellows, the Milton Fund of Harvard University and by NSF grant NSF-PHY-9802709. E.G. and J.R. were supported by DOE grant DE-FG03-92ER40701 and the Caltech Discovery Fund. D.M. was supported by DOE grant DE-FG03-84ER40168, and thanks the University of Illinois at Chicago for hospitality during the final part of this project.
Issue or Number:10
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ID Code:1233
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Deposited On:05 Jan 2006
Last Modified:08 Nov 2021 19:08

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