Connectedness Of The Boundary In The AdS/CFT Correspondence
Abstract
Let $M$ be a complete Einstein manifold of negative curvature, and assume that (as in the AdS/CFT correspondence) it has a Penrose compactification with a conformal boundary $N$ of positive scalar curvature. We show that under these conditions, $H_n(M;Z)=0$ and in particular $N$ must be connected. These results resolve some puzzles concerning the AdS/CFT correspondence.
 Publication:

arXiv eprints
 Pub Date:
 October 1999
 arXiv:
 arXiv:hepth/9910245
 Bibcode:
 1999hep.th...10245W
 Keywords:

 High Energy Physics  Theory
 EPrint:
 19 pp