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, 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) |
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Pages (from-to) | 1-19 |
Number of pages | 19 |
Journal | Advances in Theoretical and Mathematical Physics |
Volume | 3 |
Issue number | 6 |
State | Published - Nov 1999 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Mathematics
- General Physics and Astronomy