# zbMATH — the first resource for mathematics

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
Full Text:
##### References:
 [1] Galloway, G.; Schleich, K.; Witt, D.; Woolgar, E., Phys. rev. D, 60, 104039, (1999) [2] Witten, E.; Yau, S.-T., Adv. theor. math. phys., 3, (1999) [3] Maldacena, J., Adv. theor. math. phys., 2, 231, (1998) [4] Aharony, O.; Gubser, S.; Maldacena, J.; Ooguri, H.; Oz, Y., Phys. rep., 323, 184, (2000) [5] Banados, M.; Teitelboim, C.; Zanelli, J., Phys. rev. lett., 69, 1849, (1992) [6] Lemos, J., Phys. lett. B, 352, 46, (1995) [7] Aminneborg, S.; Bengtsson, I.; Holst, S.; Peldán, P., Class. quantum grav., 13, 2707, (1996) [8] Mann, R., Class. quantum grav., 14, 2927, (1997) [9] Brill, D.; Louko, J.; Peldán, P., Phys. rev. D, 56, 3600, (1997) [10] Cadeau, C.; Woolgar, E. [11] G. Mess, Lorentz spacetimes of constant curvature, MSRI Preprint 90-05808 (1990) [12] Witten, E., Adv. theor. math. phys., 2, 253, (1998) [13] Penrose, R., () [14] E. Witten, Talk at the ITP Conference on New Dimensions in Field Theory and String Theory, November, 1999, http://online.itp.ucsb.edu/online/susy_c99/witten/ [15] Friedman, J.; Schleich, K.; Witt, D., Phys. rev. lett., 71, 1486, (1993) [16] Ashtekar, A.; Magnon, A., Class. quantum grav., 1, L39, (1984) [17] Galloway, G., Class. quantum grav., 12, L99, (1995) [18] Hawking, S.; Ellis, G., The large scale structure of spacetime, (1973), Cambridge University Press Cambridge · Zbl 0265.53054 [19] Galloway, G.; Schleich, K.; Witt, D.; Woolgar, E. [20] Rolfsen, D., Knots and links, (1976), Publish or Perish Berkeley · Zbl 0339.55004 [21] Cai, M.; Galloway, G.J., Adv. theor. math. phys., 3, (1999)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.