Connectedness of the boundary in the AdS/CFT correspondence

Edward Witten; S. T. Yau

Connectedness of the boundary in the AdS/CFT correspondence

Edward Witten
, S. T. Yau

Research output: Contribution to journal › Article › peer-review

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, Hn(M;Z) = 0 and in particular N must be connected. These results resolve some puzzles concerning the AdS/CFT correspondence.

Original language	English (US)
Pages (from-to)	1-19
Number of pages	19
Journal	Advances in Theoretical and Mathematical Physics
Volume	3
Issue number	6
State	Published - Nov 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy

Cite this

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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, Hn(M;Z) = 0 and in particular N must be connected. These results resolve some puzzles concerning the AdS/CFT correspondence.",

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AB - 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, Hn(M;Z) = 0 and in particular N must be connected. These results resolve some puzzles concerning the AdS/CFT correspondence.

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JF - Advances in Theoretical and Mathematical Physics

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Connectedness of the boundary in the AdS/CFT correspondence

Abstract

All Science Journal Classification (ASJC) codes

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