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, Hn(M;Z) = 0 and in particular N must be connected. These results resolve some puzzles concerning the AdS/CFT correspondence.
|Original language||English (US)|
|Number of pages||19|
|Journal||Advances in Theoretical and Mathematical Physics|
|State||Published - Nov 1999|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)