Connectedness of the boundary in the AdS / CFT correspondence
Oct, 199919 pages
Part of Mirror symmetry 4. Proceedings, Conference on Strings, Duality and Geometry : Montreal, Canada, March 22-25, 2000, 273-287
Published in:
- Adv.Theor.Math.Phys. 3 (1999) 1635-1655
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- hep-th/9910245 [hep-th]
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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.- space-time: anti-de Sitter
- field theory: conformal
- general relativity
- Einstein equation: solution
- boundary condition
- topology
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