Published December 16, 2011
| Submitted + Published
Journal Article
Open
Connectedness Of The Boundary In The AdS/CFT Correspondence
- Creators
-
Witten, Edward
- Yau, S.-T.
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.
Additional Information
© 2000 International Press. We thank A. Strominger for discussions. Research of E.W. has been supported in part by NSF Grant PHY-95-13835 and the Caltech Discovery Fund. Research of S.-T. Yau supported in part by NSF Grant DMS-9803347 and DOE Grant FG02-88ER25065.Attached Files
Published - WITatmp99.pdf
Submitted - WITatmp99_preprint.pdf
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Additional details
- Eprint ID
- 28441
- Resolver ID
- CaltechAUTHORS:20111213-101913525
- PHY-95-13835
- NSF
- Caltech Discovery Fund
- DMS-9803347
- NSF
- FG02-88ER25065
- Department of Energy (DOE)
- Created
-
2011-12-16Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field