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Connectedness Of The Boundary In The AdS/CFT Correspondence

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. http://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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/hep-th/9910245arXivUNSPECIFIED
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.
Funders:
Funding AgencyGrant Number
NSFPHY-95-13835
Caltech Discovery FundUNSPECIFIED
NSFDMS-9803347
Department of Energy (DOE)FG02-88ER25065
Record Number:CaltechAUTHORS:20111213-101913525
Persistent URL:http://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:26 Dec 2012 14:36

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