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. 16351655. ISSN 10950761. http://resolver.caltech.edu/CaltechAUTHORS:20111213101913525

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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 PHY9513835 and the Caltech Discovery Fund. Research of S.T. Yau supported in part by NSF Grant DMS9803347 and DOE Grant FG0288ER25065.  
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Record Number:  CaltechAUTHORS:20111213101913525  
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:20111213101913525  
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ID Code:  28441  
Collection:  CaltechAUTHORS  
Deposited By:  Tony Diaz  
Deposited On:  16 Dec 2011 16:25  
Last Modified:  23 Aug 2016 10:08 
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