Compact AdS space, Brane geometry and the AdS/CFT correspondence

Details Compact AdS space, Brane geometry and the AdS/CFT correspondence Compact AdS space, Brane geometry and the AdS/CFT correspondence

2001-12-20

arxiv.org/abs/hep-th/0112196v2

Phys.Rev.D66:025005,2002

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures. Small changes in text and typos corrected

Scientific paper

10.1103/PhysRevD.66.025005

The AdS/CFT correspondence can be realized in spaces that are globally different but share the same asymptotic behavior. Two known cases are: a compact AdS space and the space generated by a large number of coincident branes. We discuss the physical consistency, in the sense of the Cauchy problem, of these two formulations. We show that the role of the boundary in the compact AdS space is equivalent to that of the flat asymptotic region in the brane space. We also show, by introducing a second coordinate chart for the pure AdS space, that a point at its spatial infinity corresponds to a horizon in the brane system.

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