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The AdS/CFT correspondence and topological censorship. (English) Zbl 0977.81130
Summary: In this letter we consider results on topological censorship, previously obtained by the authors in [Phys. Rev. D 60 (1999)] 104039, in the context of the AdS/CFT correspondence. These, and further, results are used to examine the relationship of the topology of an asymptotically locally anti-de Sitter spacetime (of arbitrary dimension) to that of its conformal boundary-at-infinity (in the sense of Penrose). We also discuss the connection of these results to results in the Euclidean setting of a similar flavor obtained by Witten and Yau in [Adv. Theor. Math. Phys. 3 (1999)].

MSC:
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81T45 Topological field theories in quantum mechanics
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