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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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.|
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|Deposited By:||Tony Diaz|
|Deposited On:||16 Dec 2011 16:25|
|Last Modified:||26 Dec 2012 14:36|
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