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 TV of positive scalar curvature. We show that under these conditions, jy n (M;Z) = 0 and in particular N must be connected. These results resolve some puzzles concerning the AdS/CFT correspondence.
No takes yet. Share an insight, caveat, or question.
Witten et al. (1999) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: