Four Dimensional Conformal Supergravity From AdS Space

Details Four Dimensional Conformal Supergravity From AdS Space Four Dimensional Conformal Supergravity From AdS Space

2000-07-26

arxiv.org/abs/hep-th/0007211v3

Phys.Rev. D63 (2001) 104009

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX. v3. references and minor comments added

Scientific paper

10.1103/PhysRevD.63.104009

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 Poincare 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 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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