Witten, Edward and Yau, S.-T. (1999) Connectedness Of The Boundary In The AdS/CFT Correspondence. Advances in Theoretical and Mathematical Physics, 3 (6). pp. 1635-1655. ISSN 1095-0761. doi:10.4310/ATMP.1999.v3.n6.a1. https://resolver.caltech.edu/CaltechAUTHORS:20111213-101913525
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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.
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| 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. | ||||||||||
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| Issue or Number: | 6 | ||||||||||
| DOI: | 10.4310/ATMP.1999.v3.n6.a1 | ||||||||||
| Record Number: | CaltechAUTHORS:20111213-101913525 | ||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20111213-101913525 | ||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
| ID Code: | 28441 | ||||||||||
| Collection: | CaltechAUTHORS | ||||||||||
| Deposited By: | Tony Diaz | ||||||||||
| Deposited On: | 16 Dec 2011 16:25 | ||||||||||
| Last Modified: | 09 Nov 2021 16:57 |
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