Connectedness Of The Boundary In The AdS/CFT Correspondence

Edward Witten; S. -T. Yau

Connectedness Of The Boundary In The AdS/CFT Correspondence

High Energy Physics - Theory 2010-04-07 v1

Authors: Edward Witten , S. -T. Yau

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.

Keywords

AdS/CFT correspondence Einstein manifold conformal boundary Penrose compactification connectedness

Cite

@article{arxiv.hep-th/9910245,
  title  = {Connectedness Of The Boundary In The AdS/CFT Correspondence},
  author = {Edward Witten and S. -T. Yau},
  journal= {arXiv preprint arXiv:hep-th/9910245},
  year   = {2010}
}

Comments

19 pp

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