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.

Edward Witten

S.-T. Yau

Advances in Theoretical and Mathematical Physics

ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS 是国际出版社的双月刊，发表关于理论物理和数学相互作用的所有领域的论文。

Advances in Theoretical and Mathematical Physics is a bimonthly journal published by an international publisher, focusing on research papers in all areas of the interaction between theoretical physics and mathematics.

《Advances in Theoretical and Mathematical Physics》是国际出版社出版的双月刊，专注于发表理论物理与数学交叉领域的研究论文。

Category	Quartile
物理与天体物理	4
物理与天体物理, 物理数学物理	4
物理与天体物理, 物理粒子与场物理	4

Connectedness of the boundary in the $\mathrm{AdS}$/$\mathrm{CFT}$ correspondence

ivySCI AI Smartly Parses PDF, Answers Researchers' Questions, and Helps You Understand Papers in Seconds

Journal Info

Category	Quartile
PHYSICS, PARTICLES & FIELDS	4