Compact AdS space, Brane geometry and the AdS/CFT correspondence
High Energy Physics - Theory
2008-11-26 v2
Abstract
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.
Cite
@article{arxiv.hep-th/0112196,
title = {Compact AdS space, Brane geometry and the AdS/CFT correspondence},
author = {Henrique Boschi-Filho and Nelson R. F. Braga},
journal= {arXiv preprint arXiv:hep-th/0112196},
year = {2008}
}
Comments
10 pages, no figures. Small changes in text and typos corrected