The topology of the AdS/CFT/Randall-Sundrum complementarity

Nuclear Physics B

Volumn 602, Issue 1-2, 2001, Pages 132-146

  McInnes, Brett ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

11.25. w; 11.25.Hf; AdS CFT; Euclidean quantum gravity; Randall Sundrum

Indexed keywords

EID: 0000308558     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(01)00123-7     Document Type: Article

References (40)

1. Aharony O., Gubser S.S., Maldacena J., Ooguri H., Oz Y. Large N field theories, string theory and gravity. Phys. Rep. 323:2000;183 hep-th/9905111.
2. Witten E. Anti-de Sitter space and holography. Adv. Theor. Math. Phys. 2:1998;253 hep-th/9802150.
3. Randall L., Sundrum R. An alternative to compactification. Phys. Rev. Lett. 83:1999;4690 hep-th/9906064.
4. E. Witten, http://online.itp.ucsb.edu/online/susy_c99/discussion/.
5. Verlinde H. Holography and compactification. Nucl. Phys. B. 580:2000;264 hep-th/9906182.
6. Gubser S.S. AdS/CFT and gravity. hep-th/9912001.
7. Chan C.S., Paul P.L., Verlinde H. A note on warped string compactification. Nucl. Phys. B. 581:2000;156 hep-th/0003236.
8. Nojiri S., Odintsov S.D., Zerbini S. Quantum (in)stability of dilatonic AdS backgrounds and holographic renormalization group with gravity. Phys. Rev. D. 62:2000;064006 hep-th/0001192.
9. Hawking S.W., Hertog T., Reall H.S. Brane new world. Phys. Rev. D. 62:2000;043501 hep-th/0003052.
10. Duff M.J., Liu J.T. Complementarity of the Maldacena and Randall-Sundrum pictures. hep-th/0003237.
11. Nojiri S., Odintsov S.D. Brane world inflation induced by quantum effects. Phys. Lett. B. 484:2000;119 hep-th/0004097.
12. Nojiri S., Obregon O., Odintsov S.D. (Non-)singular brane-world cosmology induced by quantum effects in d5 dilatonic gravity. hep-th/0005127.
13. Anchordoqui L., Nuñez C., Olsen K. Quantum cosmology and AdS/CFT. hep-th/0007064.
14. Duff M.J., Liu J.T., Stelle K.S. A supersymmetric type IIB Randall-Sundrum realization. hep-th/0007120.
15. Akhoury R. A variational principle for radial flows in holographic theories. hep-th/0007041.
16. Maldacena J., Nuñez C. Supergravity description of field theories on curved manifolds and a no go theorem. hep-th/0007018.
17. Milnor J.W., Stasheff J.D. Characteristic Classes. Annals of Mathematics Studies. 76:1974;Princeton Univ. Press.
18. McInnes B. AdS/CFT for non-boundary manifolds. JHEP. 0005:2000;025 hep-th/0003291.
19. Witten E., Yau S.T. Connectedness of the boundary in the AdS/CFT correspondence. hep-th/9910245.
20. Cai M., Galloway G.J. Boundaries of zero scalar curvature in the AdS/CFT correspondence. hep-th/0003046.
21. Barcelo C., Visser M. Brane surgery: energy conditions, traversable wormholes, and voids. Nucl. Phys. B. 584:2000;415 hep-th/0004022.
22. Lawson H.B., Michelsohn M.L. Spin Geometry. Princeton Mathematical Series. 38:1989;Princeton Univ. Press.
23. Schoen R. Conformal deformation of a Riemannian metric to constant scalar curvature. J. Diff. Geom. 20:1984;479.
24. Seiberg N., Witten E. The D1/D5 system and singular CFT. JHEP. 9904:1999;017 hep-th/9903224.
25. Wald R.M. General relativity. 1984;Chicago Univ. Press.
26. Besse A.L. Einstein Manifolds. 1987;Springer-Verlag.
27. Kirklin K., Turok N., Wiseman T. Singular instantons made regular. hep-th/0005062.
28. Galloway G.J., Schleich K., Witt D.M., Woolgar E. Topological censorship and higher genus black holes. Phys. Rev. D. 60:1999;104039 gr-qc/9902061. See also hep-th/9912119.
29. E. Witten, http://online.itp.ucsb.edu/online/susy_c99/witten/.
30. Boschi-Filho H., Braga N.R.F. Quantum fields in anti-de Sitter spacetime and degrees of freedom in the bulk/boundary correspondence. hep-th/0009039.
31. Nojiri S., Odintsov S.D., Osetrin K.E. Dilatonic quantum multi-brane-worlds. hep-th/0009059.
32. Randall L., Sundrum R. A large mass hierarchy from a small extra dimension. Phys. Rev. Lett. 83:1999;3370 hep-ph/9905221.
33. Cvetič M., Duff M.J., Liu J.T., Lu H., Pope C.N., Stelle K.S. Randall-Sundrum brane tensions. hep-th/0011167.
34. Visser M., Barcelo C. Energy conditions and their cosmological implications. gr-qc/0001099.
35. DeWolfe O., Freedman D.Z., Gubser S.S., Karch A. Modeling the fifth dimension with scalars and gravity. Phys. Rev. D. 62:2000;046008 hep-th/9909134.
36. Karch A., Randall L. Locally localized gravity. hep-th/0011156.
37. Carroll S.M. TASI lectures: cosmology for string theorists. hep-th/0011110.
38. Battye R.A., Carter B. Generic junction conditions in brane-world scenarios. hep-th/0101061.
39. Gilkey P.B., Kirsten K., Vassilevich D.V. Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario. hep-th/0101105.
40. McInnes B. Topologically induced instability in string theory. hep-th/0101136.